The ABP maximum principle for fully nonlinear PDE with unbounded coefficients.

PDE Seminar
Tuesday, September 20, 2011 - 15:05
1 hour (actually 50 minutes)
Skiles 005
Saitama University, Japan
In this talk, I will show recent results on the Aleksandrov-Bakelman-Pucci (ABP for short) maximum principle for $L^p$-viscosity solutions of fully nonlinear, uniformly elliptic partial differential equations with unbounded inhomogeneous terms and coefficients. I will also discuss some cases when the PDE has superlinear terms in the first derivatives. This is a series of joint works with Andrzej Swiech.