Stochastic homogenization of nonconvex Hamilton-Jacobi equations in one space dimension

Scott N. Armstrong; Hung V. Tran; Yifeng Yu

doi:10.1016/j.jde.2016.05.010

Stochastic homogenization of nonconvex Hamilton-Jacobi equations in one space dimension

Scott N. Armstrong, Hung V. Tran, Yifeng Yu

Mathematics

Research output: Contribution to journal › Article

Abstract

We prove stochastic homogenization for a general class of coercive, nonconvex Hamilton-Jacobi equations in one space dimension. Some properties of the effective Hamiltonian arising in the nonconvex case are also discussed.

Original language	English (US)
Pages (from-to)	2702-2737
Number of pages	36
Journal	Journal of Differential Equations
Volume	261
Issue number	5
DOIs	https://doi.org/10.1016/j.jde.2016.05.010
State	Published - Sep 5 2016

Keywords

Dynamical properties of effective Hamiltonians
Metric problem
Nonconvex Hamilton-Jacobi equation
Stochastic homogenization

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jde.2016.05.010

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title = "Stochastic homogenization of nonconvex Hamilton-Jacobi equations in one space dimension",

abstract = "We prove stochastic homogenization for a general class of coercive, nonconvex Hamilton-Jacobi equations in one space dimension. Some properties of the effective Hamiltonian arising in the nonconvex case are also discussed.",

keywords = "Dynamical properties of effective Hamiltonians, Metric problem, Nonconvex Hamilton-Jacobi equation, Stochastic homogenization",

author = "Armstrong, {Scott N.} and Tran, {Hung V.} and Yifeng Yu",

year = "2016",

month = sep,

day = "5",

doi = "10.1016/j.jde.2016.05.010",

language = "English (US)",

volume = "261",

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journal = "Journal of Differential Equations",

issn = "0022-0396",

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AU - Armstrong, Scott N.

AU - Tran, Hung V.

AU - Yu, Yifeng

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Y1 - 2016/9/5

N2 - We prove stochastic homogenization for a general class of coercive, nonconvex Hamilton-Jacobi equations in one space dimension. Some properties of the effective Hamiltonian arising in the nonconvex case are also discussed.

AB - We prove stochastic homogenization for a general class of coercive, nonconvex Hamilton-Jacobi equations in one space dimension. Some properties of the effective Hamiltonian arising in the nonconvex case are also discussed.

KW - Dynamical properties of effective Hamiltonians

KW - Metric problem

KW - Nonconvex Hamilton-Jacobi equation

KW - Stochastic homogenization

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JO - Journal of Differential Equations

JF - Journal of Differential Equations

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