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andrea.davini@uniroma1.it
Andrea Davini
Professore Associato
Struttura:
DIPARTIMENTO DI MATEMATICA
E-mail:
andrea.davini@uniroma1.it
Pagina istituzionale corsi di laurea
Curriculum Sapienza
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
Analisi qualitativa e asintotica di EDP nonlineari
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