Selection problems of \({{\mathbb {Z}}}^2\)-periodic entropy solutions and viscosity solutions

DOI10.1007/s00526-017-1208-7zbMath1388.35128arXiv1501.03594OpenAlexW2963511302MaRDI QIDQ2406083

Kohei Soga

Publication date: 26 September 2017

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.03594

zbMATH Keywords

finite difference approximationsHamilton-Jacobi equationsvanishing viscosity methodAubry-Mather theoryscalar conservation lawsselection criteria

Mathematics Subject Classification ID

Related Items (6)

Weak KAM theory for discounted Hamilton-Jacobi equations and its application ⋮ Vanishing contact structure problem and convergence of the viscosity solutions ⋮ The selection problem for discounted Hamilton-Jacobi equations: some non-convex cases ⋮ Weak KAM theory for action minimizing random walks ⋮ Stochastic and variational approach to finite difference approximation of Hamilton-Jacobi equations ⋮ Aubry-Mather theory for contact Hamiltonian systems. II

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