curriculum and list of publications - cnrarturo.imati.cnr.it/~gianazza/curriculum.pdf · 2018. 8....

$: Curriculum and List of Publications - CNRarturo.imati.cnr.it/~gianazza/curriculum.pdf · 2018. 8. 21. · 8 2 Curriculum Vitae et Studiorum, November 2001{December 2017 \Introduction$
Ugo Pietro Gianazza

Curriculum and List ofPublications

Pavia, ItalyDecember 2017

Contents

1 Personal Data of Ugo Pietro Gianazza . . . . . . . . . . . . . . . . . . . . . 1

2 Curriculum Vitae et Studiorum, November 2001–December 2017 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

3 List of Publications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17

1

Personal Data of Ugo Pietro Gianazza

Date of birth: November 6th 1963

Place of birth: Milan, Italy

Marital status: Married with Monica Ghielmetti

Nationality: Italian and Swiss

Academic Address Department of Mathematics “F. Casorati”University of Paviavia Ferrata 1, I 27100 Pavia PV, Italy

e-mail [email protected]

tel. 0039/0382/985653fax 0039/0382/985602web http://arturo.imati.cnr.it/∼gianazza/Google Scholar http://scholar.google.it/citations?user=OPkb21QAAAAJ

Home Address via Sant’Invenzio 2, I 27100 PAVIA PV, Italytel. 0039/0382/28973

Languages known Italian mother tongueEnglish very good knowledge, both spoken and writtenGerman good knowledge, both spoken and written

2

Curriculum Vitae et Studiorum, November2001–December 2017

Vita

• Present Position: Full Professor of Mathematical Analysis at the De-partment of Mathematics of the University of Pavia since November 1st

2001.• Chair of the Department of Mathematics “Felice Casorati” since November

1st 2013.• Past Positions:

– Associate Professor of Mathematical Analysis at the School of Engi-neering of the University of Pavia, 1998–2001.

– Assistant Professor of Mathematical Analysis at the Faculty of Scienceof the University of Pavia, 1992–98.

– Lecturer in Mathematical Analysis at the School of Engineering of theUniversity of Pavia, 1995–98.

– Lecturer in Mathematical Analysis at the School of Engineering of thePolitecnico of Milan, 1988–92.

• Studies: MSc in Nuclear Engineering at the Politecnico of Milan, 1982- 88; thesis work: “Study of the helicoidal equilibrium of a plasma as ex-tremum of a variational functional”, advisors Marco Biroli and EttoreMinardi.

Teaching Activity at Undergraduate Level

If not otherwise stated, all the courses were taught at the University of Pavia.

• AY 2001–02– Course “Mathematical Methods” (First Level Degree in Biomedical,

Electrical, Electronic, Telecommunication and Information Engineer-ing) at the School of Engineering.

4 2 Curriculum Vitae et Studiorum, November 2001–December 2017

– Course “Mathematical Analysis B” (First Level Degree in Biomedical,Electrical, Electronic, Telecommunication and Information Engineer-ing) at the School of Engineering.



– Course “Mathematical Analysis A” (First Level Degree in Biomedical,Electrical, Electronic, Telecommunication and Information Engineer-ing) at the School of Engineering.

– Course “Complex Variable and Fourier Transform” (First Level Degreein Mathematics) at the Faculty of Science.

– I advised two First Level Degree theses, one in Mathematics and onein Information Engineering.



– Course “Mathematical Models and Methods I” (Second Level Degreein Electronic and Telecommunication Engineering) at the School ofEngineering.


– I advised three First Level Degree theses, two in Mathematics and onein Electronic Engineering.





– I advised five First Level Degree theses, four in Mathematics and one inElectronic Engineering. I also advised a Second Level Degree thesis inMathematics (Title: Motion of a Fluid in a Porous Medium: Modelingand Analytical Aspects).




2 Curriculum Vitae et Studiorum, November 2001–December 2017 5


– I advised one First Level Degree thesis in Mathematics. I also advisedtwo Second Level Degree theses in Mathematics (Titles: PropagationModels of Viruses in Information Networks and Harnack Inequalitiesfor Doubly Nonlinear Equations).





– I advised six First Level Degree theses, one in Electronic Engineering,five in Mathematics. I also advised one Second Level Degree thesisin Mathematics (Title: Some Results on the Regularity of the InfinityLaplacian Equation), and co–advised two Second Level Degree thesesin Engineering (Titles: Analysis of Guided Beam Antennas with OpticalPhysics Methods and Regularized Kernel Methods).




– I advised two First Level Degree theses in Engineering. I also advisedtwo Second Level Degree theses in Mathematics (Titles: Partial Dif-ferential Equations and Deterministic Games and The LANS–α Modeland Turbulence in the Motion of Fluids).




– I advised two First Level Degree theses, one in Electronic Engineer-ing and one in Mathematics. I also advised one Second Level Degreethesis in Mathematics (Title: Random Games and Partial DifferentialEquation).

• AY 2009–2010


– On Sabbatical Leave; Visiting Research Scholar at Vanderbilt Univer-sity (USA) from September 30 to December 16 2009, and from February7 to April 12 2010.



– Course “Complements of Mathematical Analysis” (Second Level De-gree in Civil Engineering) at the School of Engineering.

– I advised one Second Level Degree thesis in Mathematics (Title: Reg-ularity of solutions to Navier–Stokes equations).

– During the month of October 2010 I taught a 12-hour Course on “Math-ematics for Economics” at the University Institute Sophia of Incisa inVal d’Arno, Italy.

• AY 2011–2012– Course “Mathematical Methods” (First Level Degree in Mechatronics

Engineering) at the Mantova Campus of the School of Engineering.– Course “Complements of Mathematical Analysis” (Second Level De-

gree in Civil Engineering) at the School of Engineering.– Course “Mathematical Analysis II” (Degree in Building Engineering

and Architecture) at the School of Engineering.– I advised one First Level Degree thesis in Mechanical Engineering.

• AY 2012–2013– Course “Complements of Mathematical Analysis” (Second Level De-

gree in Civil Engineering) at the School of Engineering.– Course “Mathematical Analysis II” (Degree in Building Engineering

and Architecture) at the School of Engineering.• AY 2013–2014

– Course “Complements of Mathematical Analysis” (Second Level De-gree in Civil Engineering) at the School of Engineering.

– Course “Mathematical Analysis II” (Degree in Building Engineeringand Architecture) at the School of Engineering.

– Course “Functional Analysis and Differential Equations” (Second LevelDegree in Mathematics).

• AY 2014–2015– Course “Advanced Mathematical Methods for Engineers” (Second

Level Degree in Electronic Engineering) at the School of Engineering.– Course “Mathematical Analysis II” (Degree in Building Engineering

and Architecture) at the School of Engineering.• AY 2015–2016

– Course “Advanced Mathematical Methods for Engineers” (SecondLevel Degree in Electronic Engineering) at the School of Engineering.

– Course “Mathematical Analysis II” (Degree in Building Engineeringand Architecture) at the School of Engineering.


– Course “Mathematical Analysis II” (Degree in Civil Engineering) atthe School of Engineering.

• AY 2016–2017– Course “Mathematical Analysis II” (Degree in Bioengineering, Elec-

tronic and Information Engineering) at the School of Engineering.– Course “Mathematical Analysis I” (Degree in Civil Engineering) at the

School of Engineering.– Course “Mathematical Analysis II” (Degree in Civil Engineering) at

the School of Engineering.• AY 2017–2018

– Course “Mathematical Analysis I” (Degree in Bioengineering, Elec-tronic and Information Engineering, Industrial Engineering) at theSchool of Engineering.

– Course “Mathematical Analysis II” (Degree in Bioengineering, Elec-tronic and Information Engineering) at the School of Engineering; Itaught approximately a third of this course.

– Course “Complements of Mathematical Analysis and Statistics” (De-gree in Industrial Engineering) at the School of Engineering.

– Course “Mathematical Analysis II” (Degree in Civil Engineering) atthe School of Engineering.

Teaching Activity at Graduate Level

• AY 2001–02: Course “Regularity Results for Elliptic Equations” for thePh.D. Program in Mathematics and Statistics in Pavia.

• AY 2002–03: Course “Regularity Results for Parabolic Equations” for thePh.D. Program in Mathematics and Statistics in Pavia.

• AY 2003–04: Part of the course “Classical Computational Methods” forthe Master Program Complexity and its interdisciplinary Applications ofthe Istituto Universitario di Studi Superiori of Pavia.

• June 2007: In the framework of the 2007 Workshop/Summer School inSaariselka on Qualitative Properties of Solutions to Elliptic and ParabolicEquations (Saariselka, Finland, June 6-10, 2007) a four–hour–mini-courseon “Harnack Inequalities for Non-negative Solutions to Degenerate andSingular Parabolic Partial Differential Equations.”

• August 2012: In the framework of the 22nd Summer School in Jyvaskyla,Finland, a ten–hour–course on “Regularity for Singular Porous MediumEquations.”

• March 2015: In the framework of the School/Workshop Phase TransitionProblems and Nonlinear PDEs (Bologna, Italy, March 9-11, 2015) a three–hour–course on “Boundary regularity for degenerate and singular parabolicequations.”

• August 2016: In the framework of the Scuola Matematica Interuniversi-taria (Perugia, Italy, August 1-September 2, 2016) I taught a course on


“Introduction to Partial Differential Equations.” It consisted in 10 hoursof lectures, and 6 hours of problem-solving.

Ph.D. Students

• From November 2003 to September 2005 I advised Oscar Salas Huertas, astudent of the Ph.D. Program in Mathematics and Statistics in Pavia, whoat the time was studying analytical and computational problems connectedto the dam problem. Then Huertas changed research subject, and finishedhis Ph.D. work with another advisor.

• Maria Sosio: Ph.D. in Mathematics and Statistics, University of Pavia.Title of the dissertation: Regularity for Transport and Nonlinear DiffusionProblems. Defense on June 1st 2011

• Andrea Fugazzola: Ph.D. in Mathematics and Statistics, University ofPavia. Title of the dissertation: Higher integrability results for singularand degenerate parabolic equations. Defense on December 16th 2011.

• Simona Puglisi: Ph.D. in Mathematics, University of Catania. Title: Regu-larity results for some elliptic and parabolic problems. Defense on February27th 2012.

Activity in Selection Committees

• In 2002 I was a member of the Admission Committee for the Ph.D. Pro-gram in Mathematics and Statistics in Pavia.

• In April–July 2010 I was member of the selection committee for a positionof associate professor of Mathematical Analysis at the School of Statisticsof the University of Messina, Italy.

• In 2010 I chaired the Admission Committee for the Ph.D. Program inMathematics and Statistics in Pavia.

• On December 17th 2010 I was member of the habilitation committee fora position of professor of Mathematics at the Institute of Mathematics ofthe Martin Luther University, Halle-Wittenberg, Germany.

• In August 2011–January 2012 I was member of the Selection Committee fora position of Assistant Professor in Mathematical Analysis at the Facultyof Sciences of the University of Como.

• In April–June 2015 I was member of the Selection Committee for a positionof Senior Assistant Professor (RTD-b) in Mathematical Analysis at theDepartment of Mathematics of the Polytechnics of Milan.

• In November 2016–February 2017 I was member of the Selection Commit-tee for a position of Senior Assistant Professor (RTD-b) in MathematicalAnalysis at the Department of Basic and Applied Sciences for Engineeringat Sapienza University of Rome.


Academic Organizational Activity

• From February 2000 to August 2013 I represented the School of Engineer-ing of the University of Pavia in the Italian National Committee which isin charge of preparing the admission test for prospective students of theItalian Schools of Engineering.

• I represent the Department of Mathematics in the Steering Committee ofCIRSIS, research center of the University of Pavia on Higher EducationSystems.

• From September 2001 to August 2013 I chaired the Admission Committeeof the School of Engineering of the University of Pavia.

• From November 1st 2010 to October 31st 2013 I was vice–chair of theDepartment of Mathematics “Felice Casorati” of the University of Pavia.

• From December 13th 2010 to March 31st 2013 I was President of the Scien-tific Committee of the Library of Science and Technique of the Universityof Pavia.

• From February 11th to May 31st 2013 I was Director of the five-year un-dergraduate program in Architecture at the School of Engineering of theUniversity of Pavia.

• From September 20th 2013 to September 30th 2014 I represented the Sec-ond Scientific Library Committee (CSB2) in the University Library Com-mittee of the University of Pavia.

• Since November 1st 2013 I have been the Chair of the Department ofMathematics of the University of Pavia.

• Since November 15th 2013 I have been Coordinator of the Conference ofthe Chairs of the University of Pavia.

Scientific Organizational Activity

• 2005– I was part of the Organizing Committee of the Fourth Colloquium Po-

litecnico of Milan - University of Pavia: Partial Differential Equationsand Calculus of Variations, which took place in Milan on March 9th.

– With J. M. Urbano (University of Coimbra) and V. Vespri (Universityof Florence) I organized the Workshop on Harnack Inequalities andPositivity for Solutions of PDEs, sponsored by the Italian INdAM,which was held in Cortona from June 12th to June 18th.

• 2006– With E. DiBenedetto (Vanderbilt University), M. Safonov (University

of Minnesota), J.M. Urbano (University of Coimbra), V. Vespri (Uni-versity of Florence), I was Guest Editor of a 2006 Special Issue of thejournal “Boundary Value Problems” on Harnack Estimates, Positivityand Local Behavior of Degenerate and Singular Parabolic Equations(see [1] in third section of the complete list of publications).


• 2007– With P. Colli (University of Pavia), M. Grasselli (Politecnico of Mi-

lan) and V. Pata (Politecnico of Milan) I was part of the OrganizingCommittee of the Sixth Colloquium Politecnico of Milan - Universityof Pavia: Partial Differential Equations and Calculus of Variations,which took place in Milan on October 18th.

• 2008– With V. Vespri (University of Florence) and U. Abdulla (Florida Insti-

tute of Technology) I organized a Session on “Degenerate and SingularParabolic Problems/Potential Theory and Wiener Type Criteria” dur-ing the Fifth World Congress of Nonlinear Analysts, which was held inOrlando from July 2nd to July 9th.

– With G. Gilardi (University of Pavia), M. Grasselli (Politecnico of Mi-lan) and F. Tomarelli (Politecnico of Milan) I was part of the Or-ganizing Committee of the Seventh Colloquium Politecnico of Milan- University of Pavia: Partial Differential Equations and Calculus ofVariations, which took place in Pavia on November 28th.

• 2009– With J. Lewis (University of Kentucky) I organized a CIME Summer

Course on “Regularity estimates for nonlinear elliptic and parabolicproblems”, which took place in Cetraro (Cosenza, Italy), from June21st to June 27th. The proceedings appeared in 2012 in the SpringerLecture Notes in Mathematics Series (see [2] in third section of thecomplete list of publications).

– With V. Vespri (University of Florence) and S. Salsa (Politecnico diMilano) I organized an INdAM intensive period on “Geometric prop-erties of nonlinear local and nonlocal problems”, which took place inMilan and Pavia, from May 1st to June 20th.

• 2012– With E. DiBenedetto (Vanderbilt University) I organized a mini-

symposium on “Degenerate and Singular Elliptic and Parabolic Equa-tions” during the 36th Annual SIAM Southeastern Atlantic SectionConference, which was held in Huntsville, Alabama from March 24th

to March 25th.– With F. Brezzi (IUSS Pavia), P. Colli Franzone (University of Pavia),

G. Gilardi (University of Pavia), I was Editor of the Proceedings of theConference “Analysis and Numerics of Partial Differential Equations”held in Pavia at the beginning of November 2011 in memory of EnricoMagenes. The proceedings appeared in 2013 in the Springer INdAMSeries (see [3] in third section of the complete list of publications).

• 2013– With P. Colli (University of Pavia), M. Grasselli (Politecnico of Mi-

lan) and V. Pata (Politecnico of Milan) I was part of the OrganizingCommittee of the Ninth Colloquium University of Pavia - Politecnico


of Milan: Partial Differential Equations and Calculus of Variations,which took place in Pavia on May 23rd.

• 2014– With F. Duzaar (University of Erlangen-Nurnberg) I organized an IN-

dAM Meeting on Degenerate and Singular Parabolic Problems, held inCortona, Italy, from June 23rd to June 27th.

Editorial Activity

• Since April 20th 2014 I have been Editor in Chief of the Central EuropeanJournal of Mathematics, now Open Mathematics.

• Since November 2015 I have been Editor of Advances in Calculus of Vari-ations.

Past and Present Funding

2005 “Harnack Inequalities and Positivity for Solutions of PDEs”, ItalianINdAM Workshop. The amount of money at the organizers’ disposal (JoseMiguel Urbano, Vincenzo Vespri and myself) was EUR 15,000.00.

2006 “Structural Properties of Diffusion Phenomena”, Italian GNAMPAProject, EUR 4,500.00, running from 01/01/06 to 28/02/07.

2008 “Parabolic Equations: Regularity Results and Applications to FreeBoundary Problems”, Italian GNAMPA Project, EUR 2,500.00, runningfrom 01/01/08 to 28/02/09.

2009 “Regularity Estimates for Nonlinear Elliptic and Parabolic Problems”,Italian CIME Summer School hold in Cetraro (Italy). The CIME Founda-tion approved the proposal and granted funding in November 2006. Theamount of money at the organizers’ disposal (John Lewis and myself) wasEUR 24,000.00.

2009 INdAM Intensive Period “Geometric properties of nonlinear local andnonlocal problems”. The amount of money at the organizers’ disposal(Sandro Salsa, Vincenzo Vespri and myself) was EUR 40,000.00.

2009–2010 With J.M. Urbano (Universidade de Coimbra, Portugal) I wascoordinator of a two–year bilateral Research Programme FCT–CNR. Thegrant covered two trips from Italy to Portugal, and two trips from Portugalto Italy.

2009–2012 With the collaboration of Elena Bonetti and Fulvio Bisi, I set upthe Laboratory of Applied Mathematics (LAMA) at the Mantova Cam-pus of the School of Engineering of the University of Pavia, thanks to agrant of approximately 40,000.00 EUR from the Foundation “Universityof Mantova”. With a large part of the grant we could pay a two-year non-tenure track position of assistant professor at the Mantova Campus. In


2011 LAMA started a collaboration with Polimeri Europa (the ENI poly-mers division) for the modeling of industrial processes. Due to a suddenand unexpected closure of the Mantova Campus of the School of Engi-neering of the University of Pavia, LAMA was closed at the end of 2012.

2011–2013 Italian Ministry of Education, University and Research 2009 PRINProject “Geometric Properties of Nonlinear Diffusion Problems”. I wasscientific coordinator of a three-investigator research team. The amountof money at disposal of the group was EUR 6,309.00.

2014 “Singular and Degenerate Evolution Problems,” Italian INdAM Meet-ing. The amount of money at the organizers’ disposal (Frank Duzaar andmyself) was EUR 15,000.00.

Recent Invited Talks at Conferences and ScientificMeetings

• 2006– Meeting on Subelliptic PDE’s and Applications to Geometry and Fi-

nance (Cortona, Italy, June 12-17); “Harnack estimates for quasilineardegenerate parabolic differential equations.”

– Mathematics and its applications, a joint SIMAI–SMAI–SMF–UMImeeting (Turin, Italy, July 3-7); “Intrinsic Harnack estimates for de-generate parabolic differential equations.”

– Minisymposium on Recent Development in the Theory of NonlinearDegenerate Elliptic and Parabolic Equations with Applications - SIAMConference on Analysis of Partial Differential Equations (Boston, USA,July 10-12); “Continuity of solutions of nonlinear filtration equations.”

• 2007– Shanks Workshop on Nonlinear Partial Differential Equations and Ap-

plications (Vanderbilt University, Nashville, USA, March 17-18); “Har-nack estimates for quasilinear parabolic equations.”

– Minisymposium on Recent Development in Nonlinear Degenerate El-liptic and Parabolic Equations, Potential Theory and Applications -SIAM Conference on Analysis of Partial Differential Equations (Mesa,USA, December 10-12); “Continuity of the Saturation in the Flow ofTwo Immiscible Fluids Through a Porous Medium.”

• 2008– Session on Degenerate and Singular Parabolic Equations/Potential

Theory and Wiener Type Criteria - Fifth World Congress of Nonlin-ear Analysts (Orlando, USA, July 2-9); “The Harnack Inequality forSolutions to Nonlinear Singular Parabolic Equations.”

– The London Mathematical Society South West and South Wales Re-gional Meeting 2008 and subsequent Workshop on Calculus of Varia-tions and Nonlinear PDEs (Swansea University, UK, September 15-17);“Harnack inequalities for degenerate and singular parabolic equations.”


• 2009– Nonlinear problems for p–Laplace and Laplace (Linkoping, Sweden,

August 10-14); “Continuity of the Saturation in the Flow of Two Im-miscible Fluids Through a Porous Medium.”

– Regularity for non-linear pdes (Pisa, Italy, September 21-25); “Con-tinuity of the Saturation in the Flow of Two Immiscible Fluids in aPorous Medium.”

– Prairie Analysis Seminar (Kansas State University, Manhattan, KS,USA, October 2-3); “Continuity of the Saturation in the Flow of TwoImmiscible Fluids Through a Porous Medium.”

• 2010– Mathematical Modelling of Materials and Processes. First Joint Work-

shop Centro Ricerche Polimeri Europa - Gruppo ENI (Mantova Site)Laboratorio di Matematica Applicata - Fondazione Universita di Man-tova (School of Engineering, University of Pavia, Mantova, Italy, April22-23); “Non-newtonian fluids and related structural properties.”

– Nonlinear Evolution Equations (Mondello, Italy, June 8–11); “A newregularity approach for weak solutions to singular parabolic equations.”

– Nonlinear partial differential equations - 2010 (Dnipropetrovsk, U-kraine, September 6-11); “Boundary Estimates for Quasilinear Para-bolic Equations.”

– Viscosity, metric, and control theoretic methods for nonlinear partialdifferential equations (Padova, Italy, September 23-24); “Boundary Es-timates for Quasilinear Parabolic Equations”.

– Eighth Colloquium Politecnico di Milano - Universita di Pavia on Par-tial Differential Equations and Calculus of Variations (Milan, Italy,December 15); “Boundary Estimates for Quasilinear Parabolic Equa-tions.”

• 2011– IV Pini Memorial (Bologna, Italy, November 25); “On the Local Behav-

ior of Non-Negative Solutions to a Logarithmically Singular Equation.”• 2012

– 2012 SIAM Southeast Atlantic Section Conference (Huntsville, AL,USA, March 24–25); “Logarithmically Singular Parabolic Equationsas Limits of the Porous Medium Equation.”

– 7th European Conference on Elliptic and Parabolic Problems (Gaeta,Italy, May 21–25); “On the local behavior of solutions of logarithmicallysingular parabolic equations.”

– Workshop on “Recent Trends in Nonlinear Diffusion” (Centro De-Giorgi, Pisa, Italy, July 1–6); “On the Local Behavior of Solutionsto Logarithmically Singular Parabolic Equations.”

– Workshop on “Calculus of Variations and Partial Differential Equa-tions” (Erlangen, Germany, November 9); “Boundary Estimates forCertain Degenerate and Singular Parabolic Equations.”


– Workshop on “New trends in Nonlinear Parabolic Equations” (Parma,Italy, November 12–16); “Boundary Estimates for Certain Degenerateand Singular Parabolic Equations.”

• 2013– Minisymposium on Dynamics of Non-linear Flows in Porous Media:

Analysis and Applications - 2013 SIAM Conference on Mathematicaland Computational Issues in the Geosciences (Padova, Italy, June 17–20); “On the regularity of Non-Negative Solutions to a LogarithmicallySingular Equation.”

– Workshop on “Nonlinear Elliptic and Parabolic Partial DifferentialEquations” (Milan, Italy, June 19–21); “Boundary regularity for de-generate and singular parabolic equations.”

– Wokshop on “Elliptic and Parabolic Equations” (Hannover, Germany,September 10–12); “Porous medium type equations with measure dataand potential estimates.”

– Invited visitor at the Mittag-Leffler Institute for the Semester on “Evo-lution Problems” (Stockholm, Sweden, October 1–November 15 2013);“Analyticity of solutions to a singular diffusion equation” on October10th.

• 2015– Meeting “Incontro con Marco Biroli” (Milan, Italy, May 9); “Un criterio

di tipo Wiener per la continuita al bordo di Quasi-Minimi.”– Conference on “PDEs, Potential Theory and Function Spaces in hon-

our of Lars Inge Hedberg (1935-2005)” (Linkoping, Sweden, June 14–18); “A Necessary and Sufficient Condition for the Continuity of LocalMinima of Parabolic Variational Integrals with Linear Growth.”

• 2016– Workshop on “The Total Variation Flow and Related Nonlinear Evo-

lution Problems” (Salzburg, Austria, July 11–15); “A self-improvingproperty of degenerate parabolic equations of porous medium-type.”

• 2017– Conference on “Recent developments in Nonlinear Partial Differential

Equations and Applications” (TIFR CAM, Bangalore, India, Novem-ber 1–4); “A self-improving property of degenerate parabolic equationsof porous medium-type.”

Recent Invited Talks at Mathematics Departments

• A Harnack estimate for a degenerate parabolic equation - University ofBristol, November 22nd, 2005.

• The Wasserstein Gradient Flow of the Fisher Information and the Quan-tum Drift–Diffusion Equation - Vanderbilt University, Nashville, USA,September 21st, 2007.


• Concentration of positivity and Harnack inequality - University of Flo-rence, Italy, February 1st, 2008.

• A new regularity approach for weak solutions of degenerate parabolic equa-tions - Vanderbilt University, Nashville, USA, October 30th, 2009.

• A new regularity approach for weak solutions of degenerate parabolic equa-tions - University of Kentucky, Lexington, USA, November 17th, 2009.

• A new regularity approach for weak solutions to singular parabolic equa-tions - University of Catania, Italy, June 30th, 2010.

• The Logarithmic Diffusion Equation and its Connections with the Sin-gular Porous Medium Equation - Kolloquium Angewandte Mathematik,Universitat Erlangen–Nurnberg, Erlangen, Germany, May 16th, 2013.

• Porous Medium Equation and Potential Estimates - The MathematicalColloquium, Linkoping University, Linkoping, Sweden, October 23rd, 2013.

• Boundary Regularity for Degenerate and Singular Parabolic Equations -Vanderbilt University, USA, February 20th, 2015.

• The Expansion of Positivity: Old and New - The Mathematical Collo-quium, Linkoping University, Linkoping, Sweden, September 9th, 2015.

• The Continuity Issue for the Parabolic p-Laplacian: Old and New Results,Chongqing University, Chongqing, China, March 16th, 2017.

• A self-improving property of degenerate parabolic equations of porousmedium-type - The Mathematical Colloquium, Linkoping University, Lin-koping, Sweden, September 6th, 2017.

3

List of Publications

1. U. Gianazza, Soluzioni forti per un problema ellittico degenere Istit. Lom-bardo Accad. Sci. Lett. Rend. A 124 (1990) 189–206.

2. U. Gianazza, Wiener points and energy decay for a relaxed Dirichlet prob-lem relative to a degenerate elliptic operator, Riv. Mat. Univ. Parma (4)16 (1990), 297–309.

3. U. Gianazza, Potential estimate for the obstacle problem relative to thesum of squares of vector fields, Riv. Mat. Univ. Parma (4) 17 (1991),221–239.

4. M. Biroli and U. Gianazza, Wiener criterion for the obstacle problemrelative to square Hormander’s operators, Variational and Free BoundaryProblems, 47 - 62, IMA Vol. Math. Appl., 53, Springer, New York, 1993.

5. U. Gianazza, Local properties of variational solutions for the two obstacleproblem involving square Hormander operators, Ann. Mat. Pura Appl.(4) 164 (1994), 301–333.

6. U. Gianazza, The Lp integrability on homogeneous spaces, Istit. LombardoAccad. Sci. Lett. Rend. A 126 (1992), no. 1–2, 83–92.

7. U. Gianazza, Regularity for non linear equations involving square Hor-mander operators, Nonlinear Anal. 23 (1994), no. 1, 49–73.

8. U. Gianazza, Higher integrability for Quasi-minima of functionals depend-ing on vector fields, Rend. Accad. Naz. Sci. XL Mem. Mat. (5) 17 (1993),209–227.

9. U. Gianazza, Sequences of obstacles problems for Dirichlet forms, Differ-ential Integral Equations 9 (1996), no. 1, 89–118.

10. U. Gianazza, Limit of obstacles for square Hormander operators, Atti Sem.Mat. Fis. Univ. Modena 43 (1995), no. 2, 467–471.

11. M. P. Bernardi, E. Gagliardo and U. Gianazza, Proprieta di combinazionilineari intere. Applicazioni, Istit. Lombardo Accad. Sci. Lett. Rend. A 127(1993), no. 1, 33–39.

12. U. Gianazza, M. Gobbino and G. Savare, Evolution Problems and Min-imizing Movements, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur.Rend. Lincei (9) Mat. Appl. 5 (1994), no. 4, 289–296.

18 3 List of Publications

13. U. Gianazza and G. Savare, Some results on Minimizing Movements,Rend. Accad. Naz. Sci. XL Mem. Mat. (5) 18 (1994), 57–80.

14. U. Gianazza, Meyer’s estimate for Dirichlet forms, Istit. Lombardo Accad.Sci. Lett. Rend. A 128 (1994), no. 1, 147–151.

15. U. Gianazza and G. Savare, Abstract Evolution Equations on VariableDomains: An Approach by Minimizing Movements, Ann. Scuola Norm.Sup. Pisa Cl. Sci. (4) 23 (1996), no. 1, 149–178.

16. U. Gianazza and S. Marchi, Interior regularity for solutions to some de-generate quasilinear obstacle problems, Nonlinear Anal. 36 (1999), no. 7,Ser. A: Theory Methods, 923–942.

17. U. Gianazza and V. Vespri, Generation of Analytic semigroups by Degen-erate Elliptic Operators, NoDEA, Nonlinear Differential Equations Appl.4 (1997), no. 3, 305–324.

18. U. Gianazza, Regularity for a degenerate obstacle problem, Preprint ofthe Istituto di Analisi Numerica del C.N.R. di Pavia # 997, 1–15.

19. U. Gianazza and V. Vespri, Analytic Semigroups generated by SquareHormander Operators, Rend. Istit. Mat. Univ. Trieste 28 (1996), suppl.,201–220.

20. U. Gianazza, Existence for a nonlinear problem relative to Dirichlet forms,Rend. Accad. Naz. Sci. XL Mem. Mat. Appl. (5) 21 (1997), 209–234.

21. U. Gianazza and V. Vespri, Holder Classes relative to degenerate EllipticOperators as Interpolation Spaces, Matematiche (Catania) 53 (1998), no.1, 107–121.

22. U. Gianazza and V. Vespri, The Heisenberg Laplacian: a survey, Rend.Circ. Mat. Palermo (2) Suppl. No. 52 (1998), 491–512.

23. U. Gianazza and V. Vespri, Continuity of weak solutions of a singularparabolic equation, Advances in Differential Equations, 8, 11, (2003),1341–1376.

24. U. Gianazza, B. Stroffolini and V. Vespri, Interior and boundary continu-ity of the solution of the singular equation (β(u))t = Lu, Nonlinear Anal.56, 2, (2004) 157–183.

25. U. Gianazza and V. Vespri, Harnack Inequality for Solutions of DoublyNonlinear Parabolic Equations, J. Appl. Funct. Anal., 1, 3, (2006), 271–284.

26. U. Gianazza and V. Vespri, A Harnack Inequality for a DegenerateParabolic Equation, J. Evol. Equ., 6, 2, (2006), 247–267.

27. U. Gianazza and V. Vespri, Regularity Estimates for Parabolic De GiorgiClasses of order p, Calc. Var. Partial Differential Equations, 26, 3, (2006),379–399.

28. E. DiBenedetto, U. Gianazza and V. Vespri, Local Clustering of the Non-Zero Set of Functions in W 1,1(E), Atti Accad. Naz. Lincei Rend. LinceiMat. Appl. 17, (2006), 223–225.

29. E. DiBenedetto, U. Gianazza and V. Vespri, Intrinsic Harnack estimatesfor non-negative local solutions of degenerate parabolic equations, Elec-tron. Res. Announc. Amer. Math. Soc. 12 (2006), 95–99.

3 List of Publications 19

30. F. Dinuzzo, M. Neve, U. Gianazza and G. De Nicolao, On the representertheorem and equivalent degrees of freedom of SVR, J. Mach. Learn. Res.8 (2007), 2467–2495.

31. U. Gianazza and S. Polidoro, Lower Bounds for Solutions of DegenerateParabolic Equations, Lect. Notes Semin. Interdiscip. Mat., 6, (2007), 157–162.

32. E. DiBenedetto, U. Gianazza and V. Vespri, Intrinsic Harnack Inequalitiesfor Quasi–linear Singular Parabolic Partial Differential Equations, AttiAccad. Naz. Lincei Rend. Lincei Mat. Appl. 18 (2007), 359–364.

33. E. DiBenedetto, U. Gianazza and V. Vespri, Harnack Estimates for Quasi–Linear Degenerate Parabolic Differential Equation, Acta Math. 200 (2008)181–209.

34. L. Corazzini and U. Gianazza, Unequal contributions from identical agentsin a local interaction model, Journal of Public Economic Theory, 10 (3),2008, 351–370.

35. E. DiBenedetto, U. Gianazza and V. Vespri, Sub–Potential Lower Boundsfor Non–Negative Solutions to Certain Quasi–Linear Degenerate ParabolicEquations, Duke Math. J., Vol. 143, 1, (2008), 1–15.

36. U. Gianazza, G. Savare and G. Toscani, The Wasserstein gradient flow ofthe Fisher information and the Quantum drift-diffusion equation, Arch.Rational Mech. Analysis, 194, (1), (2009) 133–220.

37. E. DiBenedetto, U. Gianazza and V. Vespri, Alternative Forms of theHarnack Inequality for Non–Negative Solutions to Certain Degenerate andSingular Parabolic Equations, Atti Accad. Naz. Lincei Rend. Lincei Mat.Appl., 20(4), (2009), 369–377.

38. E. DiBenedetto, U. Gianazza and V. Vespri, Forward, Backward and El-liptic Harnack Inequalities for Non–Negative Solutions to Certain SingularParabolic Partial Differential Equations, Ann. Scuola Norm. Sup. Pisa Cl.Sci. (5), Vol. IX (2010), 385–422.

39. S. Fornaro and U. Gianazza, Local properties of non–negative solutions tosome doubly non–linear degenerate parabolic equations, Discrete Contin.Dyn. Syst., 26, (2), (2010), 481–492.

40. E. DiBenedetto, U. Gianazza and V. Vespri, Harnack Type Estimates andHolder Continuity for Non-Negative Solutions to Certain Sub-CriticallySingular Parabolic Partial Differential Equations, Manuscripta Math.,131, (1-2), (2010), 231–245.

41. U. Gianazza, M. Surnachev and V. Vespri, On a new proof of Holdercontinuity of solutions of p–Laplace type parabolic equations, Adv. Calc.Var. 3 (2010) 263–278.

42. E. DiBenedetto, U. Gianazza and V. Vespri, A New Approach to theExpansion of Positivity Set of Non-negative Solutions to Certain Singu-lar Parabolic Partial Differential Equations, Proc. Amer. Math. Soc. 138(2010), 3521–3529.


43. E. DiBenedetto, U. Gianazza and V. Vespri, Liouville-Type Theorems forCertain Degenerate and Singular Parabolic Equations, C. R. Acad. Sci.Paris, Ser. I 348, (2010), 873–877.

44. E. DiBenedetto, U. Gianazza and V. Vespri, Harnack’s Inequality for De-generate and Singular Parabolic Equations, Springer Monographs in Math-ematics, Springer Verlag, New York, 2012.

45. E. DiBenedetto, U. Gianazza and V. Vespri, Continuity of the Saturationin the Flow of Two Immiscible Fluids in a Porous Medium, Indiana Univ.Math. J., 59(6), (2010), 2041–2076.

46. E. DiBenedetto, U. Gianazza and N. Liao, On the Local Behavior of Non-Negative Solutions to a Logarithmically Singular Equation, Discrete Con-tin. Dyn. Syst. Ser. B, 17(6), 2012, 1841–1858.

47. E. DiBenedetto, U. Gianazza and N. Liao, Logarithmically SingularParabolic Equations as Limits of the Porous Medium Equation, NonlinearAnal., 75(12), 2012, 4513–4533.

48. E. Dallago, D.G. Finarelli, U. Gianazza, A. Lazzarini Barnabei and A.Liberale, Theoretical and experimental analysis of an MPP detection al-gorithm employing a single voltage sensor only and a noisy signal, PowerElectronics, IEEE Transactions on, 28(11), 2013, 5088–5097.

49. V. Bogelein, F. Duzaar, U. Gianazza, Porous Medium Type Equationswith Measure Data and Potential Estimates, SIAM J. Math. Anal., 45(6),(2013), 3283–3330.

50. E. DiBenedetto, U. Gianazza and N. Liao, Two Remarks on the LocalBehavior of Solutions to Logarithmically Singular Diffusion Equations andits Porous-Medium Type Approximations, Riv. Mat. Univ. Parma, vol.5(1), (2014), 139–182.

51. A. Bjorn, J. Bjorn, U. Gianazza, M. Parviainen, Boundary regularity fordegenerate and singular parabolic equations, Calc. Var. Partial Differen-tial Equations, 52(3), (2015), 797–827.

52. F. Duzaar, V. Bogelein and U. Gianazza, Continuity estimates for porousmedium type equations with measure data, J. Funct. Anal., 267(9),(2014), 3351–3396.

53. U. Gianazza, Degenerate and Singular Porous Medium Type Equationswith Measure Data, in J. Escher et al., (eds.), Elliptic and Parabolic Equa-tions, Springer Proc. Math. Stat., 119, (2015), 139–158.

54. F. Duzaar, V. Bogelein and U. Gianazza, Very weak solutions of singularporous medium equations with measure data, Commun. Pure Appl. Anal.,14(1), (2015), 23–49.

55. E. DiBenedetto and U. Gianazza, A Wiener-Type Condition for BoundaryContinuity of Quasi-Minima of Variational Integrals, Manuscripta Math.149, (2016), 339–346.

56. B. Avelin, U. Gianazza and S. Salsa, Boundary Estimates for Certain De-generate and Singular Parabolic Equations, J. Eur. Math. Soc. 18, (2016),381–424.

3 List of Publications 21

57. E. DiBenedetto, U. Gianazza and C. Klaus, A Necessary and SufficientCondition for the Continuity of Local Minima of Parabolic VariationalIntegrals with Linear Growth, Adv. Calc. Var. 10(3), (2017), 209–221.

58. F.G. Duzgun, U. Gianazza and V. Vespri, 1-Dimensional Harnack Esti-mates, Discrete Contin. Dyn. Syst. Ser. S, 9(3), (2016), 675–685.

59. A. Bjorn, J. Bjorn and U. Gianazza, The Petrovskiı criterion and barri-ers for degenerate and singular p-parabolic equations, Math. Ann., 368,(2017), 885–904.

60. E. DiBenedetto and U. Gianazza, Some Properties of DeGiorgi Classes,Rend. Istit. Mat. Univ. Trieste, 48, (2016), 245–260.

61. F. Duzaar, V. Bogelein and U. Gianazza, Sharp boundedness and conti-nuity results for the singular porous medium equation, Israel J. Math.,214, (2016), 259–314.

62. U. Gianazza and S. Salsa, On the Boundary Behaviour of Solutions toParabolic Equations of p-Laplacian Type, Rend. Istit. Mat. Univ. Trieste,48, (2016), 463–483.

63. E. DiBenedetto, U. Gianazza and V.Vespri, Remarks on Local Bounded-ness and Local Holder Continuity of Local Weak Solutions to Anisotropicp-Laplacian Type Equations, J. Elliptic Parabol. Equ., 2, (2016), 157–169.

Preprints

1. U. Gianazza and S. Schwarzacher, Self-improving property of degener-ate parabolic equations of porous medium-type, preprint (20016), 1–29,submitted.

2. U. Gianazza and J. Siljander, Sharp Regularity for Weak Solutions to thePorous Medium Equation, preprint (2016), 1–35, submitted.

3. U. Gianazza, N. Liao and T. Lukkari, A Boundary Estimate for SingularParabolic Diffusion Equations, preprint (2017), 1–25, submitted.

4. U. Gianazza and C. Klaus, p-Parabolic Approximation of Total VariationFlow Solutions, preprint (2017), 1–30, submitted.

Activity as Editor

1. E. DiBenedetto, U. Gianazza, M. Safonov, J.M. Urbano and V. Vespri(eds.), Harnack Estimates: Positivity and Local Behavior of Degenerateand Singular Parabolic Equations, Special Issue of Boundary Value Prob-lems, 2007.

2. U. Gianazza and J. Lewis (eds.), Regularity Estimates for Nonlinear El-liptic and Parabolic Problems, Lectures from the C.I.M.E. Summer Schoolheld in Cetraro, June 22-27, 2009, Lecture Notes in Mathematics #2045,Springer Verlag, 2012.


3. F. Brezzi, P. Colli Franzone, U. Gianazza and G. Gilardi (eds.), Analysisand Numerics of Partial Differential Equations, Springer INdAM Series#4, Springer Verlag, 2013.

Lecture Notes of Courses

1. U. Gianazza, Regularity for Solutions to Singular Porous Medium Equa-tions, Notes of the course held at the 22nd Jyvaskyla Summer School,University of Jyvaskyla, Finland, August 20–24 2012.

curriculum and list of publications - cnrarturo.imati.cnr.it/~gianazza/curriculum.pdf · 2018. 8....

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