Long term dynamics of nonlinear wave equations
SPEAKER | Wilhelm Schlag
DATE | May 11(Thu), 2017
TIME | 17:00
PLACE | 1503
ABSTRACT | We will review some of the work over the past decade aiming at a complete description of the asymptotic structure of solutions with finite energy to certain semilinear wave equations. A goal of this talk is to demonstrate the interplay between dynamical system ideas and methods (invariant manifolds in infinite dimensions), calculus of variations, and the solution theory of dispersive equations based on classical harmonic analysis (restriction theory of the Fourier transform and Strichartz estimates). We will also present new work on a damped wave equation, but with damping that vanishes asymptotically. The latter is joint work with Nicolas Burq and Genevieve Raugel at Orsay, France.