Effective Hamiltonian and homogenization of measurable eikonal equations

DOI10.1007/S00205-006-0001-0zbMath1173.35014OpenAlexW1985777842MaRDI QIDQ1006795

Antonio Siconolfi, Fabio Camilli

Publication date: 26 March 2009

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-006-0001-0

zbMATH Keywords

Hamilton-Jacobi equationviscosity solutionviscosity subsolutionviscosity supersolutioncell problem

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Initial value problems for nonlinear first-order PDEs (35F25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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Cites Work

• LIP manifolds: from metric to Finslerian structure
• Hamilton-Jacobi equations with measurable dependence on the state variable.
• Singular perturbations of nonlinear degenerate parabolic pDEs: A general convergence result
• PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians
• Periodic homogenisation of certain fully nonlinear partial differential equations
• Periodic homogenization of Hamilton-Jacobi equations: Additive eigenvalues and variational formula
• Periodic homogenisation of Hamilton–Jacobi equations: 2. Eikonal equations
• Correctors for the homogenization of Hamilton-Jacobi equations in the stationary ergodic setting
• Time-Dependent Measurable Hamilton–Jacobi Equations
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

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