Regularity theory for Hamilton--Jacobi equations

DOI10.1016/S0022-0396(02)00013-XzbMath1023.35028MaRDI QIDQ1864661

Diogo Aguiar Gomes

Publication date: 18 March 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

KAM theoremviscosity solutionsMather sets

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Nonlinear first-order PDEs (35F20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items

Some inverse problems in periodic homogenization of Hamilton-Jacobi equations, An infinite-dimensional weak KAM theory via random variables, The integrability of positively definite Lagrangian systems via variational criterion: mechanical systems, Regularity of viscosity solutions near KAM torus, Viscous stability of quasi-periodic tori, Correctors for the homogenization of Hamilton-Jacobi equations in the stationary ergodic setting, Perturbation estimates of weak KAM solutions and minimal invariant sets for nearly integrable Hamiltonian systems, The Hessian Riemannian flow and Newton’s method for effective Hamiltonians and Mather measures

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