Lipschitz Lectures

Wave packets and parametrices in dispersive pde's

Daniel Tataru

Date: June 3 - July 2, 2014 (June 3 + 4, 17 + 18, July 1 + 2)
Time: Tuesdays and Wednesday 12 p.m. - 2 p.m.
Location: Mathematik-Zentrum, Lipschitz Lecture Hall, Endenicher Allee 60, Bonn (June 3 - 18), HIM Lecture Hall, Poppelsdorfer Allee 45, Bonn (July 1 + 2)

Organizer: Herbert Koch

Abstract:

Wave packets are highly localized solutions to linear dispersive equations. These have proved to be well adapted to the study of evolution problems on rough backgrounds, and in particular to the study of quasilinear problems. The aim of these lectures will be to introduce various classes of wave packets, and to discuss their uses in various quasilinear settings, including nonlinear  wave equations, nonlinear Schr√∂dinger equations and water waves.