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• W3033006989 abstract "We study a stochastic nonlinear Schrödinger system with multiplicative white noise in energy space H1. Based on deterministic and stochastic Strichartz estimates, we prove the local well-posedness of a 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 L2 norm of the initial value is small enough. We also study the blow-up phenomenon and give a sharp criterion via a general virial identity." @default.
• W3033006989 created "2020-06-12" @default.
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• W3033006989 date "2020-06-01" @default.
• W3033006989 modified "2023-10-15" @default.
• W3033006989 title "Global solution and blow-up of the stochastic nonlinear Schrödinger system" @default.
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• W3033006989 doi "https://doi.org/10.1063/1.5141338" @default.
• W3033006989 hasPublicationYear "2020" @default.
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