KP-II in 2 and 3d

New challenges in PDE: Deterministic dynamics and randomness in high and infinite dimensional systems October 19, 2015 - October 30, 2015

October 20, 2015 (03:30 PM PDT - 04:30 PM PDT)

Speaker(s): Herbert Koch (Rheinische Friedrich-Wilhelms-Universität Bonn)
Location: SLMath: Eisenbud Auditorium

Tags/Keywords

KP equations
Kadomtsev-Petviashvili
Korteweg-de Vries equation
Strichartz estimates
global well-posedness
Existence of scattering solutions

Primary Mathematics Subject Classification

Secondary Mathematics Subject Classification No Secondary AMS MSC

Video

14375

Abstract

In the talk I will explain global wellposedness and scattering results for dispersive equations with quadratic nonlinearities. The Kadomtsev-Petviashvili II equation in 3d requires additional decompositions, related function spaces and refined bilinear estimates.

Supplements

	Koch_Notes 384 KB application/pdf	Download

Video/Audio Files

14375

H.264 Video	14375.mp4 294 MB video/mp4 rtsp://videos.msri.org/data/000/024/562/original/14375.mp4	Download

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