Metric techniques for convex stationary ergodic Hamiltonians

DOI10.1007/s00526-010-0345-zzbMath1213.49036OpenAlexW2026551031WikidataQ125704557 ScholiaQ125704557MaRDI QIDQ629854

Antonio Siconolfi, Andrea Davini

Publication date: 10 March 2011

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

Full work available at URL: https://doi.org/10.1007/s00526-010-0345-z

zbMATH Keywords

Lax formulaclosed random setsstationary ergodic Hamilton-Jacobi equations

Mathematics Subject Classification ID

Optimal stochastic control (93E20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Representations of solutions to partial differential equations (35C99) Viscosity solutions to PDEs (35D40)

Related Items (13)

Quantitative stochastic homogenization of an unbounded front propagation problem ⋮ Homogenization of viscous and non-viscous HJ equations: a remark and an application ⋮ Calibrated configurations for Frenkel-Kontorova type models in almost periodic environments ⋮ Stochastic homogenization of certain nonconvex Hamilton-Jacobi equations ⋮ Stochastic homogenization of \(L^\infty\) variational problems ⋮ Stochastic homogenization of Hamilton-Jacobi and degenerate Bellman equations in unbounded environments ⋮ Weak KAM theory topics in the stationary ergodic setting ⋮ Stochastic homogenization for reaction-diffusion equations ⋮ Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations ⋮ Existence and regularity of strict critical subsolutions in the stationary ergodic setting ⋮ On the first eigenpair of singularly perturbed operators with oscillating coefficients ⋮ Stochastic homogenization of a nonconvex Hamilton-Jacobi equation ⋮ Stochastic homogenization of deterministic control problems

Cites Work

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• The method of averaging and walks in inhomogeneous environments
• The perturbed test function method for viscosity solutions of nonlinear PDE
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• Optimal transportation on non-compact manifolds

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