Stochastic homogenization of level-set convex Hamilton-Jacobi equations

Scott N. Armstrong; Panagiotis E. Souganidis

doi:10.1093/imrn/rns155

Stochastic homogenization of level-set convex Hamilton-Jacobi equations

Scott N. Armstrong, Panagiotis E. Souganidis

Mathematics

Research output: Contribution to journal › Article

Abstract

We present a simple, new proof for the stochastic homogenization of quasiconvex (level-set convex) Hamilton-Jacobi equations set in stationary ergodic environments. Our approach, which is new even in the convex case, yields more information about the qualitative behavior of the effective nonlinearity.

Original language	English (US)
Pages (from-to)	3420-3449
Number of pages	30
Journal	International Mathematics Research Notices
Volume	2013
Issue number	15
DOIs	https://doi.org/10.1093/imrn/rns155
State	Published - 2013

ASJC Scopus subject areas

Mathematics(all)

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10.1093/imrn/rns155

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abstract = "We present a simple, new proof for the stochastic homogenization of quasiconvex (level-set convex) Hamilton-Jacobi equations set in stationary ergodic environments. Our approach, which is new even in the convex case, yields more information about the qualitative behavior of the effective nonlinearity.",

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