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Math Colloquium
Charles Smart
Massachusetts Institute of Technology
Title: Stochastic homogenization without uniform ellipticity

Abstract: I will discuss joint work with Scott Armstrong on the regularity of fully nonlinear elliptic equations when the usual uniform upper bound on the ellipticity is replaced by a 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.

Date: Wednesday, January 30, 2013
Time: 4:30 pm
Location: Wean Hall 7500
Submitted by:  Bohman
Note: Refreshments at 4:00 pm, Wean Hall 6220