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Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3D compact manifolds

Brzezniak, Zdzislaw; Hornung, Fabian; Weis, Lutz

Abstract:
We prove pathwise uniqueness for solutions of the nonlinear Schrödinger equation with conservative multiplicative noise on compact 3D manifolds. In particular, we generalize the result by Burq, G´erard and Tzvetkov, [11], to the stochastic setting. The proof is based on deterministic and stochastic Strichartz estimates and the Littlewood-Paley decomposition.

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Volltext §
DOI: 10.5445/IR/1000085736
Veröffentlicht am 10.09.2018
Zugehörige Institution(en) am KIT Institut für Analysis (IANA)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsbericht
Jahr 2018
Sprache Englisch
Identifikator ISSN: 2365-662X
urn:nbn:de:swb:90-857364
KITopen-ID: 1000085736
Verlag KIT, Karlsruhe
Umfang 21 S.
Serie CRC 1173 ; 2018/18
Schlagworte nonlinear Schrödinger equation, Stratonovich noise, Strichartz estimates, pathwise uniqueness, Littlewood-Paley decomposition
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