Exact and approximate correctors for stochastic Hamiltonians: The 1-dimensional case

DOI10.1007/S00208-009-0372-2zbMath1191.37044OpenAlexW2088163787MaRDI QIDQ734958

Andrea Davini, Antonio Siconolfi

Publication date: 14 October 2009

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-009-0372-2

zbMATH Keywords

Hamilton-Jacobi equationscorrectorLax-type representationhomogenization problem

Mathematics Subject Classification ID

Infinite-dimensional random dynamical systems; stochastic equations (37L55)

Related Items (17)

Random homogenization of coercive Hamilton-Jacobi equations in 1d ⋮ Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations ⋮ Stochastic homogenization of nonconvex Hamilton-Jacobi equations in one space dimension ⋮ 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 ⋮ On the vanishing discount approximation for compactly supported perturbations of periodic Hamiltonians: the 1d case ⋮ Metric techniques for convex stationary ergodic Hamiltonians ⋮ Weak KAM theory topics in the stationary ergodic setting ⋮ Stochastic homogenization of a class of quasiconvex viscous Hamilton-Jacobi equations in one space dimension ⋮ On the existence of correctors for the stochastic homogenization of viscous Hamilton-Jacobi equations ⋮ 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 ⋮ Existence and regularity of strict critical subsolutions in the stationary ergodic setting ⋮ Spreading speeds for one-dimensional monostable reaction-diffusion equations

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