Regularity of viscosity solutions near KAM torus

DOI10.1007/s11425-008-0031-1zbMath1166.37021OpenAlexW1651916688MaRDI QIDQ931530

Jun Yan, Zhenguo Liang

Publication date: 25 June 2008

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-008-0031-1

zbMATH Keywords

Hamilton-Jacobi equationviscosity solutionsKAM torus

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items (2)

The integrability of positively definite Lagrangian systems via variational criterion: mechanical systems ⋮ Viscous stability of quasi-periodic tori

Cites Work

• Ergodization rates for linear flow on the torus
• On the distribution of free path lengths for the periodic Lorentz gas
• Aubry-Mather theory and Hamilton-Jacobi equations
• On the mean free path for a periodic array of spherical obstacles.
• Regularity theory for Hamilton--Jacobi equations
• Existence of \(C^1\) critical subsolutions of the Hamilton-Jacobi equation
• Aubry-Mather theory and periodic solutions of the forced Burgers equation
• Perturbation Theory for Viscosity Solutions of Hamilton--Jacobi Equations and Stability of Aubry--Mather Sets
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

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