## Regularity and stochastic homogenization of fully nonlinear equations without uniform ellipticity.

Series
Job Candidate Talk
Time
Tuesday, November 20, 2012 - 11:05am for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Charles Smart – MIT
Organizer
Andrzej Swiech
I will discuss regularity of fully nonlinear elliptic equations when the usual uniform upper bound on the ellipticity is replaced by bound on its $L^d$ norm, where $d$ is the dimension of the ambient space. Our estimates refine the classical theory and require several new ideas that we believe are of independent interest. As an application, we prove homogenization for a class of stationary ergodic strictly elliptic equations.