2020 DiPerna Lectures

The 2020 DiPerna Lecture was given by Carlos Kenig (University of Chicago) on March 6, 2020, 4PM in 145 Dwinelle Hall:

Asymptotic simplification for solutions of the nonlinear wave equation

Abstract: We will discuss recent work with Duyckaerts and Merle, which show sa "simplification" in the asymptotic behavior of all solutions to the energy critical wave equation which are bounded in the energy norm, for all odd space dimensions. This depends on a careful study of "outer radiation" for the long time interaction of decoupled stationary solutions, which appears to be a general phenomenon in non-integrable settings.