21st Century COE Program : Mathematics of Nonlinear Structure via Singularity

Herbert Koch : Nonlinear Dispersive Equations, Expository Lectures

Dispersive estimates and applications

Abstract

In the talk I will explain the parametrix construction for dispersive equations with rough coefficients. Strichartz estimates for equations with rough coefficients are an immediate consequence. These estimates are applied to solutions to nonlinear dispersive equations.

21st Century COE Program : Mathematics of Nonlinear Structure via Singularity