On the vanishing discount approximation for compactly supported perturbations of periodic Hamiltonians: the 1d case

DOI10.1080/03605302.2023.2183409zbMath1518.35227arXiv2205.04920OpenAlexW4372299188MaRDI QIDQ6116610

Andrea Davini, Italo Capuzzo-Dolcetta

Publication date: 18 July 2023

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.04920

zbMATH Keywords

Hamilton-Jacobi equationsviscosity solutionsweak KAM theoryvanishing discount problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Periodic solutions to PDEs (35B10) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)

Related Items (1)

Convergence of the solutions of the nonlinear discounted Hamilton-Jacobi equation: the central role of Mather measures

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