Dana Mendelson : Random data Cauchy theory for some nonlinear dispersive equations

Posted by Mimi Dai , part of the Analysis and Applied Mathematics Seminar.

At

Nov. 5, 2018, 4 p.m.

In

636 SEO

Abstract

In this talk, I will discuss several problems on nonlinear wave and dispersive equations with random initial data, including the energy critical nonlinear wave and Schroedinger equations, and derivative nonlinear wave equations. I will present several almost sure well-posedness and scattering results for these equations and contrast the ways in which random data techniques can be exploited in these different contexts.