Homogenization in \(L^\infty\)

DOI10.1006/jdeq.2001.4118zbMath1023.35010OpenAlexW2027290003MaRDI QIDQ697862

M. C. Fu

Publication date: 17 September 2002

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

Full work available at URL: https://doi.org/10.1006/jdeq.2001.4118

zbMATH Keywords

optimal controlaveragingviscosity solutionseffective Hamiltoniandiscontinuous Hamiltoniannonlinear first order PDEperiodic micro-structure

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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Some homogenization results for non-coercive Hamilton-Jacobi equations ⋮ Homogenization of the Peierls-Nabarro model for dislocation dynamics ⋮ Homogenization for fully nonlinear parabolic equations ⋮ HOMOGENIZATION OF L^∞ FUNCTIONALS ⋮ Infinite Horizon Stochastic Optimal Control Problems with Running Maximum Cost ⋮ Homogenization of First Order Equations with (u/ε)-Periodic Hamiltonians Part II: Application to Dislocations Dynamics

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