Homogenization of Hamilton-Jacobi equations in perforated sets

DOI10.1006/jdeq.1999.3665zbMath0945.35010OpenAlexW2072345257MaRDI QIDQ1970035

Yanyan Li

Publication date: 17 July 2000

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

Full work available at URL: https://doi.org/10.1006/jdeq.1999.3665

zbMATH Keywords

effective Hamiltoniandeterministic optimal control problemsstate constraints boundary condition

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) 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)

Related Items (7)

Some homogenization results for non-coercive Hamilton-Jacobi equations ⋮ Homogenization of the Peierls-Nabarro model for dislocation dynamics ⋮ Multiscale problems and homogenization for second-order Hamilton-Jacobi equations ⋮ HAMILTON-JACOBI EQUATIONS WITH PARTIAL GRADIENT AND APPLICATION TO HOMOGENIZATION ⋮ Homogenization in \(L^\infty\) ⋮ Homogenization of First Order Equations with (u/ε)-Periodic Hamiltonians Part II: Application to Dislocations Dynamics ⋮ A discussion about the homogenization of moving interfaces

Cites Work

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• Perron's method for Hamilton-Jacobi equations
• Homogenization in open sets with holes
• Viscosity solutions of Hamilton-Jacobi equations
• Semicontinuous Viscosity Solutions For Hamilton–Jacobi Equations With Convex Hamiltonians
• Hamilton-Jacobi Equations with State Constraints
• Optimal Control with State-Space Constraint I
• Exit Time Problems in Optimal Control and Vanishing Viscosity Method
• An extension theorem from connected sets, and homogenization in general periodic domains
• Periodic homogenisation of certain fully nonlinear partial differential equations
• User’s guide to viscosity solutions of second order partial differential equations
• Homogenization of Hamilton-Jacobi equations on domains with small scale periodic structure
• Discontinuous viscosity solutions to dirichlet problems for hamilton-jacob1 equations with
• Discontinuous viscosity solutions of first-order Hamilton-Jacobi equations: a guided visit
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

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