Homogenization of viscous and non-viscous HJ equations: a remark and an application

DOI10.1007/s00526-017-1177-xzbMath1382.35022arXiv1608.01893OpenAlexW2963540712MaRDI QIDQ2406059

Elena Kosygina, Andrea Davini

Publication date: 26 September 2017

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

Full work available at URL: https://arxiv.org/abs/1608.01893

zbMATH Keywords

one-space dimensionEvans's perturbed test function

Mathematics Subject Classification ID

Processes in random environments (60K37) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)

Related Items (12)

Stochastic homogenization of a class of nonconvex viscous HJ equations in one space dimension ⋮ An example of failure of stochastic homogenization for viscous Hamilton-Jacobi equations without convexity ⋮ Stochastic homogenization of certain nonconvex Hamilton-Jacobi equations ⋮ Existence and uniqueness of solutions to parabolic equations with superlinear Hamiltonians ⋮ Stochastic homogenization for reaction-diffusion equations ⋮ Nonconvex homogenization for one-dimensional controlled random walks in random potential ⋮ Stochastic homogenization of a class of quasiconvex viscous Hamilton-Jacobi equations in one space dimension ⋮ Min-max formulas and other properties of certain classes of nonconvex effective Hamiltonians ⋮ 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 ⋮ Homogenization of a class of one-dimensional nonconvex viscous Hamilton-Jacobi equations with random potential ⋮ SINGULAR PERTURBATION EXPANSION FOR UTILITY MAXIMIZATION WITH ORDER-𝜖 QUADRATIC TRANSACTION COSTS

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