Weak KAM from a PDE point of view: viscosity solutions of the Hamilton–Jacobi equation and Aubry set

DOI10.1017/S0308210550000064zbMath1297.35004OpenAlexW2170859749MaRDI QIDQ2866664

Albert Fathi

Publication date: 13 December 2013

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210550000064

zbMATH Keywords

Hamilton-Jacobi equationPerron methodviscosity solutionsAubry setsupersolution and subsolutionlower and upper differentialsviscosity semi-distance

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)

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