Mathematisches Seminar

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

29.05.2015 von 16:15 bis 17:15

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.

Kaffee und Tee im Konferenzraum (423) um 15.30 Uhr.

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