Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3d compact manifolds
Open Access
- 2 March 2022
- journal article
- research article
- Published by Springer Nature in Stochastics and Partial Differential Equations: Analysis and Computations
- Vol. 10 (3) , 828-857
Abstract
We prove the pathwise uniqueness of solutions of the nonlinear Schrödinger equation with conservative multiplicative noise on compact 3D manifolds. In particular, we generalize the result by Burq, Gérard and Tzvetkov, [7], to the stochastic setting. The proof is based on the deterministic and new stochastic spectrally localized Strichartz estimates and the Littlewood-Paley decomposition.Keywords
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Funding Information
- Deutsche Forschungsgemeinschaft (CRC 1173)
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