Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3D compact manifolds
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.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) Sonderforschungsbereich 1173 (SFB 1173) |
| Publikationstyp | Forschungsbericht/Preprint |
| Publikationsjahr | 2018 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X urn:nbn:de:swb:90-857364 KITopen-ID: 1000085736 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 21 S. |
| Serie | CRC 1173 ; 2018/18 |
| Schlagwörter | nonlinear Schrödinger equation, Stratonovich noise, Strichartz estimates, pathwise uniqueness, Littlewood-Paley decomposition |
| Nachgewiesen in | arXiv |