Propagation of singularities for weak KAM solutions and barrier functions

DOI10.1007/s00220-014-2106-xzbMath1302.35108arXiv1306.3588OpenAlexW3103773461WikidataQ126212087 ScholiaQ126212087MaRDI QIDQ398729

Wei Cheng, Piermarco Cannarsa, Qi Zhang

Publication date: 15 August 2014

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

Full work available at URL: https://arxiv.org/abs/1306.3588

zbMATH Keywords

level set methodgeneralized characteristicsHamilton Jacobi equationWeak KAM solutions

Mathematics Subject Classification ID

Singularity in context of PDEs (35A21) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)

Related Items

Lasry-Lions, Lax-Oleinik and generalized characteristics, Generalized characteristics and Lax-Oleinik operators: global theory, Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus, Lasry-Lions approximations for discounted Hamilton-Jacobi equations, Singularities of solutions of Hamilton-Jacobi equations, Local singular characteristics on \(\mathbb{R}^2\), Perturbation estimates of weak KAM solutions and minimal invariant sets for nearly integrable Hamiltonian systems, Global Generalized Characteristics for the Dirichlet Problem for Hamilton--Jacobi Equations at a Supercritical Energy Level

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