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- W4386081355 abstract "We establish the stochastic Strichartz estimate for the fractional Schrodinger equation with multiplicative noise. With the help of the deterministic Strichartz estimates, we prove the existence and uniqueness of a global solution to the stochastic fractional nonlinear Schrodinger equation in $L_2(mathbb{R}^n)$ and $H^{1}(mathbb{R}^n)$, respectively. In addition, we also prove a general blow up result by deriving a localized virial estimate and the generalized Strauss inequality with $E[u_0]<0$." @default.
- W4386081355 created "2023-08-23" @default.
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- W4386081355 date "2023-08-20" @default.
- W4386081355 modified "2023-09-27" @default.
- W4386081355 title "Global solution and blow-up for the stochastic fractional Schrodinger equation" @default.
- W4386081355 doi "https://doi.org/10.48550/arxiv.2308.10270" @default.
- W4386081355 hasPublicationYear "2023" @default.
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