Subsolutions of time-periodic Hamilton–Jacobi equations

DOI10.1017/S0143385707000089zbMath1121.37049arXivmath/0604217OpenAlexW2078412799MaRDI QIDQ3594433

Daniel Massart

Publication date: 8 August 2007

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604217

zbMATH Keywords

subsolutionweak KAM theorytime-periodic Hamilton-Jacobi equation

Mathematics Subject Classification ID

Hamilton's equations (70H05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

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An example of convex Hamiltonian diffeomorphism where asymptotic distance from identity is strictly greater than the minimal action ⋮ Vanishing viscosity limits for space-time periodic Hamilton-Jacobi equations ⋮ The convergence of Lax-Oleinik semigroup for time-periodic Lagrangian ⋮ On commuting Tonelli Hamiltonians: time-periodic case ⋮ Existence of C1,1C1,1 critical sub-solutions of the Hamilton–Jacobi equation on compact manifolds ⋮ Vertices of Mather’s beta function, II

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