Weak KAM solutions of Hamilton-Jacobi equations with decreasing dependence on unknown functions

DOI10.1016/J.JDE.2021.03.030zbMath1465.37083arXiv1805.04738OpenAlexW3136892453MaRDI QIDQ2020120

Kaizhi Wang, Jun Yan, Lin Wang

Publication date: 23 April 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.04738

zbMATH Keywords

Hamilton-Jacobi equationsviscosity solutionsweak KAM theory

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Hamilton-Jacobi equations in mechanics (70H20) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Hamilton-Jacobi equations (35F21)

Related Items (7)

Viscosity subsolutions of Hamilton–Jacobi equations and invariant sets of contact Hamilton systems ⋮ Hamilton–Jacobi equations with their Hamiltonians depending Lipschitz continuously on the unknown ⋮ Time periodic solutions of Hamilton-Jacobi equations with autonomous Hamiltonian on the circle ⋮ Stability and weak KAM solutions of contact Hamilton-Jacobi equation ⋮ Weak KAM solutions of Hamilton-Jacobi equations with decreasing dependence on unknown functions ⋮ Aubry-Mather theory for contact Hamiltonian systems. II ⋮ Finite-time convergence of solutions of Hamilton-Jacobi equations

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