Full Professor, Dipartimento di Matematica, Universita` di Padova

Email: bardi AT math.unipd.it

Home-page: http://www.math.unipd.it/~bardi/

arxiv id: http://arxiv.org/a/bardi_m_1

Available papers (37):

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• M. Bardi - H. Kouhkouh (Appl. Math. Optim.)
  An Eikonal equation with vanishing Lagrangian arising in Global Optimization (2023)
• M. Bardi - A. Goffi (Advances in Differential Equations)
  Liouville results for fully nonlinear equations modeled on Hörmander vector fields: II. Carnot groups and Grushin geometries (2023)
• M. Bardi - A. Goffi (Mathematische Annalen)
  Liouville results for fully nonlinear equations modeled on Hörmander vector fields: I. The Heisenberg group (2022)
• M. Bardi - H. Kouhkouh (preprint)
  Deep Relaxation of Controlled Stochastic Gradient Descent via Singular Perturbations (2022)
• M. Bardi - H. Kouhkouh (Accepted Paper: ESAIM Control Optim. Calc. Var.)
  Singular perturbations in stochastic optimal control with unbounded data (2022)
• M. Bardi - P. Cardaliaguet (Nonlinear Analysis)
  Convergence of some Mean Field Games systems to aggregation and flocking models (2021)
• M. Bardi - E. Feleqi - P. Soravia (Set-Valued and Variational Analysis)
  Regularity of the minimum time and of viscosity solutions of degenerate eikonal equations via generalized Lie brackets (2021)
• M. Bardi - A. Cesaroni - E. Topp (Proc. Roy. Soc. Edinburgh Sect. A)
  Cauchy problem and periodic homogenization for nonlocal Hamilton-Jacobi equations with coercive gradient terms (2020)
• M. Bardi - A. Goffi (Calc. Var. Partial Differential Equations)
  New strong maximum and comparison principles for fully nonlinear degenerate elliptic PDEs (2019)
• Y. Achdou - M. Bardi - M. Cirant (Math. Models Methods Appl. Sci.)
  Mean Field Games models of segregation (2017)
• M. Bardi - M. Fischer (Accepted Paper: ESAIM Control Optim. Calc. Var.)
  On non-uniqueness and uniqueness of solutions in finite-horizon Mean Field Games (2017)
• M. Bardi - M. Cirant (Accepted Paper: "PDE models for multi-agent phenomena", P. Cardaliaguet, A. Porretta, F. Salvarani editors, Springer INdAM Series)
  Uniqueness of solutions in Mean Field Games with several populations and Neumann conditions (2017)
• M. Bardi - A. Cesaroni - A. Scotti (ESAIM Control Optim. Calc. Var.)
  Convergence in Multiscale Financial Models with Non-Gaussian Stochastic Volatility (2016)
• M. Bardi - A. Cesaroni (J. Differential Equations)
  Liouville properties and critical value of fully nonlinear elliptic operators (2016)
• M. Bardi - A. Cesaroni - L. Rossi (ESAIM Control Optim. Calc. Var.)
  Nonexistence of nonconstant solutions of some degenerate Bellman equations and applications to stochastic control (2016)
• M. Bardi - E. Feleqi (NoDEA Nonlinear Differential Equations Appl.)
  Nonlinear Elliptic Systems and Mean Field Games (2016)
• M. Bardi - A. Cesaroni - D. Ghilli (Discrete Contin. Dyn. Syst.)
  Large deviations for some fast stochastic volatility models by viscosity methods (2015)
• M. Bardi - G. Terrone (CIM Series in Mathematical Sciences)
  Periodic homogenization of deterministic control problems via limit occupational measures (2015)
• M. Bardi - J. P. Maldonado Lopez (Dyn. Games Appl.)
  A Dijkstra-type algorithm for dynamic games (2015)
• M. Bardi - F. Dragoni (J. Convex Analysis)
  Subdifferential and Properties of Convex Functions with respect to Vector Fields (2014)
• M. Bardi - F. S. Priuli (SIAM J. Control Optim.)
  Linear-Quadratic N-person and Mean-Field Games with Ergodic Cost (2014)
• M. Bardi - G. Terrone (Comm. Pure Appl. Anal.)
  On the Homogenization of some Non-coercive Hamilton--Jacobi--Isaacs Equations (2013)
• M. Bardi - F. S. Priuli (Proc. 52nd IEEE Conference on Decision and Control, Florence)
  LQG Mean-Field Games with ergodic cost (2013)
• M. Bardi - P. Mannucci (Forum Mathematicum)
  Comparison Principles and Dirichlet problem for fully nonlinear degenerate equations of Monge-Ampère type (2013)
• M. Bardi (Networks and Heterogeneous Media)
  Explicit solutions of some Linear-Quadratic Mean Field Games (2012)
• M. Bardi - F. Dragoni (Calc. Var. Partial Differential Equations)
  Convexity and semiconvexity along vector fields (2011)
• M. Bardi - A. Cesaroni (Eur. J. Control)
  Optimal control with random parameters: a multiscale approach (2011)
• M. Bardi - A. Cesaroni - L. Manca (SIAM J. Finan. Math.)
  Convergence by viscosity methods in multiscale financial models with stochastic volatility (2010)
• O. Alvarez - M. Bardi (Mem. Amer. Math. Soc.)
  Ergodicity, stabilization, and singular perturbations for Bellman-Isaacs equations (2010)
• M. Bardi (Ann. Internat. Soc. Dynam. Games)
  On differential games with long-time-average cost (2009)
• M. Bardi - P. Mannucci (Lect. Notes Semin. Interdiscip. Mat.)
  Comparison principles for equations of Monge-Ampère type in Carnot groups: a direct proof (2008)
• M. Bardi - A. Cesaroni (ESAIM Control Optim. Calc. Var.)
  Almost sure properties of controlled diffusions and worst case properties of deterministic systems (2008)
• O. Alvarez - M. Bardi - C. Marchi (Series on Advances in Mathematics for Applied Sciences)
  Multiscale singular perturbations and homogenization of optimal control problems (2008)
• M. Bardi - P. Mannucci (Boll. Unione Mat. Ital.)
  Comparison principles for subelliptic equations of Monge-Ampère type (2008)
• O. Alvarez - M. Bardi - C. Marchi (J. Differential Equations)
  Multiscale problems and homogenization for second-order Hamilton-Jacobi equations (2007)
• O. Alvarez - M. Bardi (Ann. Internat. Soc. Dynam. Games)
  Ergodic problems in differential games (2007)
• M. Bardi - P. Mannucci (Commun. Pure Appl. Anal.)
  On the Dirichlet problem for non-totally degenerate fully nonlinear elliptic equations (2006)

Speaker:

• 30 may 2022 - 3 jun 2022: Mostly Maximum Principle
• 3 jun 2019 - 7 jun 2019: Crowds: models and control
• 9 jun 2016 - 10 jun 2016: Two-day Meeting on linear and nonlinear PDE's in honor of the 65th birthday of Cristian Gutierrez
• 30 may 2016 - 3 jun 2016: HJ2016: Hamilton-Jacobi Equations: new trends and applications
• 4 dec 2014 - 5 dec 2014: "Numerical methods for PDEs: optimal control, games and image processing: a conference on the occasion of the 60th birthday of Maurizio Falcone".
• 10 oct 2011 - 14 oct 2011: ERC Workshop on Geometric Analysis on sub-Riemannian and Metric Spaces
• 25 nov 2002 - 26 nov 2002: Metodi di viscosita` per l'omogenizzazione di equazioni non lineari a derivate parziali

Organizer:

• 4 sep 2013 - 6 sep 2013: Mean Field Games and Related Topics - 2