Analysis Seminar

Jessica LinUniversity of Wisconsin, Madison
Algebraic error estimates for the stochastic homogenization of uniformly parabolic equations

Monday, March 16, 2015 - 2:30pm
Malott 406

We establish error estimates for the stochastic homogenization of fully nonlinear uniformly parabolic equations in stationary ergodic spatio-temporal media. Based on an approach of Armstrong and Smart in the elliptic setting, we construct a quantity which captures the geometric behavior of solutions to parabolic equations. The error estimates are shown to be of algebraic order. This talk is based on joint work with Charles Smart.