On unique continuation for nonlinear elliptic equations

Friday, February 25, 2011 -
3:00pm to 5:00pm
We will discuss the following issue: if two solutions of a nonlinear elliptic equation coincide in a small ball, do they necessarily coincide everywhere? The problem is fairly well understood in the linear setting, but it is open for most interesting nonlinear elliptic equations. We will analyze the difficulties of the problem and prove a result in arguably the simplest case in which one cannot linearize the equation a priori.
Speaker: 
Luis Silvestre
University of Chicago
Event Location: 
Fine Hall 314