Guher Camliyurt : Global well-posedness and scattering in nonlinear wave equations

Posted by Daniel Lear , part of the Analysis and Applied Mathematics Seminar.

At

April 11, 2022, 4 p.m.

In

636 SEO

Abstract

In this talk we will consider the wave equation in odd space dimensions with energy-supercritical nonlinearity, in the radial setting. We will review the concentration compactness and rigidity arguments starting from the earlier work by Kenig-Merle and Duyckaerts-Kenig-Merle in the energy-critical and energy-supercritical cases, and outline the key ideas behind the proof of global well-posedness and scattering results in dimensions three, five, and seven.