Large Data Dynamics for Nonlinear Dispersive PDEs

Analysis Seminar
Topic:Large Data Dynamics for Nonlinear Dispersive PDEs
Speaker:Wilhelm Schlag
Affiliation:University of Chicago
Date:Friday, February 1
Time/Room:3:30pm - 4:30pm/S-101
Video Link:https://video.ias.edu/1213/analysis-0201-WilhelmSchlag

We will discuss recent work on wave evolutions for large data. Particular emphasis will be placed on concentration compactness ideas. Amongst others, we will describe a result for wave equations from R^3 minus the unit ball into the sphere S^3 where we can show that any solution approaches the unique harmonic map in its degree class. Joint work with Cote, Kenig, Lawrie, Nakanishi -- in various combinations.