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- W2963770167 abstract "Let $T_{epsilon}$ be the lifespan for the solution to the Schrodinger equation on $mathbb{R}^d$ with a power nonlinearity $lambda |u|^{2theta/d}u$ ($lambda in mathbb{C}$, $0<theta<1$) and the initial data in the form $epsilon varphi(x)$. We provide a sharp lower bound estimate for $T_{epsilon}$ as $epsilon to +0$ which can be written explicitly by $lambda$, $d$, $theta$, $varphi$ and $epsilon$. This is an improvement of the previous result by H.Sasaki [Adv. Diff. Eq. 14 (2009), 1021--1039]." @default.
- W2963770167 created "2019-07-30" @default.
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- W2963770167 date "2017-03-08" @default.
- W2963770167 modified "2023-09-23" @default.
- W2963770167 title "A sharp lower bound for the lifespan of small solutions to the Schrodinger equation with a subcritical power nonlinearity" @default.
- W2963770167 doi "https://doi.org/10.48550/arxiv.1703.03125" @default.
- W2963770167 hasPublicationYear "2017" @default.
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