On the \(C^1\) and \(C^2\)-convergence to weak K.A.M. solutions

DOI10.1007/s00220-022-04355-4zbMath1501.37059arXiv1902.06108OpenAlexW2912185999MaRDI QIDQ2142984

Xifeng Su, Marie-Claude Arnaud

Publication date: 30 May 2022

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.06108

zbMATH Keywords

Tonelli LagrangianLax-Oleinik semi-groupKAM solutions

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (2)

Convergence of the solutions of the nonlinear discounted Hamilton-Jacobi equation: the central role of Mather measures ⋮ Convergence of solutions for some degenerate discounted Hamilton-Jacobi equations

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