Andrea Davini

Pubblicazioni

Titolo Pubblicato in Anno
Stochastic homogenization of nonconvex viscous Hamilton-Jacobi equations in one space dimension COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 2024
Stochastic Homogenization of a Class of Quasiconvex and Possibly Degenerate Viscous HJ Equations in 1D JOURNAL OF CONVEX ANALYSIS 2024
On the vanishing discount approximation for compactly supported perturbations of periodic Hamiltonians: the 1d case COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 2023
Stochastic homogenization of a class of nonconvex viscous HJ equations in one space dimension JOURNAL OF DIFFERENTIAL EQUATIONS 2022
Discrete approximation of the viscous HJ equation STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS: ANALYSIS AND COMPUTATIONS 2021
Discrete approximation of stochastic Mather measures PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 2021
On the vanishing discount problem from the negative direction DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 2020
Existence and uniqueness of solutions to parabolic equations with superlinear Hamiltonians COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 2019
Convergence of the solutions of discounted Hamilton-Jacobi systems ADVANCES IN CALCULUS OF VARIATIONS 2019
Homogenization of viscous and non-viscous HJ equations: a remark and an application CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 2017
Random Lax–Oleinik semigroups for Hamilton–Jacobi systems JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES 2017
Existence and regularity of strict critical subsolutions in the stationary ergodic setting ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE 2016
Convergence of the solutions of the discounted Hamilton–Jacobi equation: Convergence of the discounted solutions INVENTIONES MATHEMATICAE 2016
Convergence of the solutions of the discounted equation: the discrete case MATHEMATISCHE ZEITSCHRIFT 2016
On the (non) existence of viscosity solutions of multi–time Hamilton–Jacobi equations JOURNAL OF DIFFERENTIAL EQUATIONS 2015

ERC

  • PE1_8

Keywords

Hamilton-Jacobi equations
weak KAM theory
viscosity solutions
Homogenization
Optimal control theory
dynamical systems

Progetti di Ricerca

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