An example of failure of stochastic homogenization for viscous Hamilton-Jacobi equations without convexity

DOI10.1016/j.jde.2021.01.009zbMath1459.35021arXiv1905.07295OpenAlexW3129142930MaRDI QIDQ2656290

Jean-Baptiste Fermanian, William M. Feldman, Bruno Ziliotto

Publication date: 11 March 2021

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

Full work available at URL: https://arxiv.org/abs/1905.07295

zbMATH Keywords

differential gamesHamilton-Jacobi equationsstochastic homogenization

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) PDEs with randomness, stochastic partial differential equations (35R60) Initial value problems for second-order parabolic equations (35K15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Hamilton-Jacobi equations (35F21)

Related Items (4)

Stochastic homogenization of a class of quasiconvex viscous Hamilton-Jacobi equations in one space dimension ⋮ Homogenization of a stochastically forced Hamilton-Jacobi equation ⋮ Stochastic homogenization and effective Hamiltonians of Hamilton-Jacobi equations in one space dimension: the double-well case ⋮ Strongly mixing smooth planar vector field without asymptotic directions

Cites Work

• Unnamed Item
• Random homogenization of coercive Hamilton-Jacobi equations in 1d
• Stochastic homogenization of nonconvex Hamilton-Jacobi equations in one space dimension
• Stochastic homogenization of Hamilton-Jacobi and degenerate Bellman equations in unbounded environments
• Nonconvex homogenization for one-dimensional controlled random walks in random potential
• Stochastic homogenization of a nonconvex Hamilton-Jacobi equation
• Stochastic homogenization of Hamilon-Jacobi and ``viscous-Hamilton-Jacobi equations with convex nonlinearities -- revisited
• Homogenization for stochastic Hamilton-Jacobi equations
• Stochastic homogenization of quasilinear Hamilton-Jacobi equations and geometric motions
• Convergence of the solutions of the discounted Hamilton-Jacobi equation: a counterexample
• Stochastic homogenization of viscous Hamilton-Jacobi equations and applications
• Homogenization of viscous and non-viscous HJ equations: a remark and an application
• Homogenization and non-homogenization of certain non-convex Hamilton-Jacobi equations
• Repeated games for non-linear parabolic integro-differential equations and integral curvature flows
• Stochastic homogenization of Hamilton-Jacobi-Bellman equations
• A deterministic-control-based approach to fully nonlinear parabolic and elliptic equations
• Homogenization of “Viscous” Hamilton–Jacobi Equations in Stationary Ergodic Media
• Stochastic Homogenization of Nonconvex Hamilton‐Jacobi Equations: A Counterexample
• Homogenization of Hamilton‐Jacobi‐Bellman equations with respect to time‐space shifts in a stationary ergodic medium
• A deterministic‐control‐based approach motion by curvature

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