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CNA Working Group Seminar
Peter Gladbach
Carnegie Melllon University
Title: Nonlinear stochastic homogenization

Abstract: We treat the stochastic homogenization of the fully nonlinear PDE


where F is elliptic, i.e. decreasing in D^2u and nondecreasing in u.

Assuming stationarity and ergodicity of F, we show that the viscosity solutions u_eps(x,omega) to the Dirichlet problem converge omega-almost surely to the viscosity solution of the deterministic homogeneous Dirichlet problem F(D^2u,Du,u)=0 as eps goes to 0. We use the subadditive ergodic theorem, the obstacle problem, and the perturbed test function method.

Date: Tuesday, May 2, 2017
Time: 2:30 pm
Location: Wean Hall 7218
Submitted by:  Riccardo Cristoferi