Convergence of solutions of Hamilton-Jacobi equations depending nonlinearly on the unknown function

DOI10.1515/acv-2020-0089zbMath1505.35037arXiv2009.13677OpenAlexW3121653861MaRDI QIDQ2677299

Qinbo Chen

Publication date: 13 January 2023

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.13677

zbMATH Keywords

Hamilton-Jacobi equationsasymptotic behavior of solutionsAubry-Mather theoryweak KAM theorynonlinear discounted systems

Mathematics Subject Classification ID

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

Related Items

Multiple asymptotic behaviors of solutions in the generalized vanishing discount problem, On the vanishing discount approximation for compactly supported perturbations of periodic Hamiltonians: the 1d case, Convergence of the solutions of the nonlinear discounted Hamilton-Jacobi equation: the central role of Mather measures, Aubry-Mather theory for contact Hamiltonian systems. II

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