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- W2992103923 abstract "We study the stochastic Nonlinear Schr{o}dinger system with multiplicative white noise in energy space $H^1$. Based on deterministic and stochastic Strichartz estimates, we prove the local well-posedness and uniqueness of mild solution. Then we prove the global well-posedness in the mass subcritical case and the defocusing case. For the mass subcritical case, we also investigate the global existence when the $L^2$ norm of initial value is small enough. In addition, we study the blow-up phenomenon and give a sharp criteria." @default.
- W2992103923 created "2019-12-13" @default.
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- W2992103923 date "2019-12-03" @default.
- W2992103923 modified "2023-09-23" @default.
- W2992103923 title "Global Solution and Blow-up of the Stochastic Nonlinear Schr{o}dinger system" @default.
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- W2992103923 doi "https://doi.org/10.48550/arxiv.1912.01488" @default.
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