Global well-posedness and scattering for the radially symmetric cubic wave equation with a critical Sobolev norm

Analysis Seminar
Topic:Global well-posedness and scattering for the radially symmetric cubic wave equation with a critical Sobolev norm
Speaker:Benjamin Dodson
Affiliation:Johns Hopkins University; von Neumann Fellow, School of Mathematics
Date:Thursday, February 28
Time/Room:1:00pm - 2:00pm/Simonyi Hall 101
Video Link:https://video.ias.edu/analysis/2019/0228-BenjaminDodson

In this talk we discuss the cubic wave equation in three dimensions. In three dimensions the critical Sobolev exponent is 1/2. There is no known conserved quantity that controls this norm. We prove unconditional global well-posedness for radial initial data in the critical Sobolev space.