Homogenization of pathwise Hamilton-Jacobi equations

DOI10.1016/j.matpur.2017.07.012zbMath1382.35028arXiv1605.00168OpenAlexW3100836443MaRDI QIDQ1689511

Benjamin Seeger

Publication date: 12 January 2018

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.00168

zbMATH Keywords

pathwise theory of fully nonlinear SPDEstemporal noise with nonlinear Hamiltonian

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)

Related Items

Pathwise Solutions for Fully Nonlinear First- and Second-Order Partial Differential Equations with Multiplicative Rough Time Dependence ⋮ Interpolation results for pathwise Hamilton-Jacobi equations ⋮ Approximation schemes for viscosity solutions of fully nonlinear stochastic partial differential equations ⋮ Long-time behavior of stochastic Hamilton-Jacobi equations ⋮ Perron’s method for pathwise viscosity solutions ⋮ Fully nonlinear stochastic and rough PDEs: classical and viscosity solutions ⋮ Min-max formulas and other properties of certain classes of nonconvex effective Hamiltonians ⋮ Homogenization of a stochastically forced Hamilton-Jacobi equation ⋮ Scaling limits and homogenization of mixing Hamilton-Jacobi equations

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