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- Title
Strichartz estimates for partially periodic solutions to Schrödinger equations in and applications.
- Authors
Herr, Sebastian; Tataru, Daniel; Tzvetkov, Nikolay
- Abstract
We consider the energy critical nonlinear Schrödinger equation on periodic domains of the form with . Assuming that a certain L4 Strichartz estimate holds for solutions to the corresponding linear Schrödinger equation, we prove that the nonlinear problem is locally well-posed in the energy space. Then we verify that the L4 estimate holds if .
- Subjects
ESTIMATION theory; SCHRODINGER equation; PARTIAL differential equations; PARTICLE physics; ESTIMATES
- Publication
Journal für die Reine und Angewandte Mathematik, 2014, Vol 2014, Issue 690, p65
- ISSN
0075-4102
- Publication type
Article
- DOI
10.1515/crelle-2012-0013