Department of Mathematics

Prof. Dr. Sebastian Herr (Universität Bielefeld): "The energy-critical nonlinear Schrödinger equation on compactmanifolds"

May 29, 2015 from 04:15 PM to 05:15 PM

LMS 4 - Raum 424 - Kleiner Hörsaal

Abstract:
In the last two decades Bourgain and Burq-Gerard-Tzvetkov developed a well-posedness theory for nonlinear Schrödinger equations on compact manifolds in subcritical regimes. We are interested in a scaling-critical problem: The quintic NLS on three-dimensional compact manifolds with initial data in the energy space. We will present a general strategy for solving this Cauchy problem and recent results for specific manifolds. This is based on joint work with Daniel Tataru, Nikolay Tzvetkov and Nils Strunk.

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