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Geometric Analysis Seminar

On existence of global solutions of the one-dimensional cubic NLS for initial data in the modulation space M_{p,q}

Location:  Hill 705
Date & time: Tuesday, 04 October 2016 at 3:00PM - 3:11PM

Nikos Pattakos, Karlsruhe Institute of Technology: We prove global wellposedness for the 1-dimensional cubic NLS in the modulation space M_{p,p'} for p sufficiently close to 2. The idea is to split the initial data between two suitable function spaces and solve in each of them a different NLS and then combine the solutions. The method of splitting goes back to Bourgain. This is joint work with L. Chaichenets, D. Hundertmark and P. Kunstmann.

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

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