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Personale Strutture


Professori Ordinari





Martino BARDI was born in 1956 in Trieste, got married in 1995, and adopted a son and a daughter in Brazil in 2007.

- "Laurea" in Mathematics cum laude at the University of Padova in 1979, thesis published on J. Math. Biol.
- C.N.R. scholarship at the University of Padova 1981-82.
- Visiting research assistant at the University of Maryland 1983-4, supervisor L.C. Evans.

- Researcher at the Faculty of Sciences of the University of Padova, 1984 - 87.
- Associate professor at the Faculty of Engineering in Padova, 1988 - 90.
- Full professor of Mathematical Analysis at the Faculty of Engineering in Padova, 1990 - 2011,
- Full professor at the Department of Mathematics of the University of Padova, 2012 - now.

Honors: Isaacs Award of the International Society for Dynamic Games, 2016;

Visiting positions at CeReMaDe, Univ. Paris-Dauphine; IMA, Minneapolis; Ecole Normale Sup., Paris; Institut Mittag-Leffler, Stockholm; Univ. Rouen.

Scientific interests.
Nonlinear PDE and applications: viscosity solutions of Hamilton-Jacobi equations; optimal control and differential games; fully nonlinear elliptic and parabolic equations; Mean-Field Games.

About 50 papers on international journals and 20 on refereed volumes with several collaborators such as L.C. Evans, B. Perthame, S. Osher, H. Ishii, R. Jensen, Y. Giga, Y. Achdou.
Co-author of the monographs
- Bardi, M.; Crandall, M.G.; Evans, L.C.; Soner, H.M.; Souganidis, P.E.: Viscosity solutions and applications. Lecture Notes in Mathematics, 1660. Springer-Verlag, Berlin, 1997;
- Bardi, M.; Capuzzo-Dolcetta, I.: Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations. Birkhauser, Boston, 1997. 2nd printing: Modern Birkhauser Classics, 2008;
and editor of a volume of the Annals of the International Society of Dynamic Games.
The complete list of papers is at
MathSciNet counts 2068 citations by 1244 authors.

Invited talks at international conferences: more than 50 plenary talks.

Principal Investigator of research projects:
- Progetto di Eccellenza Fondazione Ca.Ri.Pa.Ro. “Nonlinear Partial Differential Equations: model, analysis and control-theoretic problems” 2010-2014.
- P.I. of local research units of the European research projects T.M.R. Network "Viscosity solutions and applications" 1999-2003 (P.I.: P.-L. Lions), and E.S.F. Programme "Optimization with PDE Constraints" 2008-2013.
- National research projects I.N.D.A.M.-G.N.A.M.P.A. 2001, 2002, 2006, 2010.
- P.I. of local research units in 17 national research projects from 1989 until 2013.

Training of young researchers.
- Supervisor of 10 Ph. D. students, among whom P. Soravia (1992, now prof. at Univ. Padova), F. Da Lio (1998, now titular prof. at ETH, Zurich), P. Bettiol (2002, now prof. at Univ. Brest).
- Advisor of 8 post-docs, among whom O. Ley (2000, now prof. at Univ. Rennes) and L. Rifford (2000, now prof. at Univ. Nice).

Scientific Committees:
- International Society of Dynamic Games: Vice president 2006-08, member of the Executive Board 2004-08;
- Italian Mathematical Union, U.M.I.: member of the Scientific Committee 2006-12;
- Editorial Committee of NoDEA 2019-.

Current Editorial Boards:
Comm. Pure Applied Anal., Numer. Funct. Anal. Optim., Dyn. Games Appl., Minimax Theory Appl.

May 5, 2020



Area di ricerca

Nonlinear differential equations and applications.
In particular:
- viscosity solutions of Hamilton-Jacobi equations;
- optimal control and differential games (deterministic and stochastic), dynamic programming and approximation methods;
- fully nonlinear elliptic and parabolic partial differential equations (subelliptic problems, singular perturbations, homogenization), applications to financial models with stochastic volatility;
- Mean-Field Games.