Finite-time convergence of solutions of Hamilton-Jacobi equations

DOI10.1090/PROC/15736zbMath1487.37080arXiv2101.09879OpenAlexW3174735067MaRDI QIDQ5027162

Jun Yan, Kai Zhao, Kaizhi Wang

Publication date: 4 February 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.09879

zbMATH Keywords

Hamilton-Jacobi equationsviscosity solutionsweak KAM theoryfinite-time convergence

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51)

Related Items (1)

Stability and weak KAM solutions of contact Hamilton-Jacobi equation

Cites Work

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• Variational principle for contact Hamiltonian systems and its applications
• Aubry-Mather theory for contact Hamiltonian systems
• Weak KAM solutions of Hamilton-Jacobi equations with decreasing dependence on unknown functions
• Herglotz' variational principle and Lax-Oleinik evolution
• Herglotz' generalized variational principle and contact type Hamilton-Jacobi equations
• Implicit variational principle for contact Hamiltonian systems
• Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
• Viscosity Solutions of Hamilton-Jacobi Equations

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