Departmental Colloquium
Carlos Kenig
University of Chicago
Soliton Resolution for nonlinear wave equations
Abstract: We will describe some recent works on the soliton resolution
conjecture, for nonlinear wave equations. The soliton resolution
conjecture, in this setting states that a general solution, asymptotically
in time, decomposes as a finite sum of modulated solitons and radiation.
In our recent works (with Duyckaerts and Merle, and with Lawrie, Liu and
Schlag) we have proven this for the energy critical wave equation in the
radial case, in 3d, and for equivariant exterior wave maps, also in 3d.
Friday April 17, 2015 at 3:00 PM in SEO 636