Blow-up criteria and instability of standing waves for the inhomogeneous fractional Schrodinger equation

In this article, we study the blow-up and instability of standing waves for theinhomogeneous fractional Schrodinger equation $$ i\partial_tu-(-\Delta)^su+ |x|^{-b}|u|^{p}u=0, $$  where \(s\in (\frac{1}{2},1)\), \(0

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Bibliographic Details
Published in:Electronic journal of differential equations 2021-05, Vol.2021 (1-104), p.39
Main Authors: Feng, Binhua, He, Zhiqian, Liu, Jiayin
Format: Article
Language:English
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Summary:In this article, we study the blow-up and instability of standing waves for theinhomogeneous fractional Schrodinger equation $$ i\partial_tu-(-\Delta)^su+ |x|^{-b}|u|^{p}u=0, $$  where \(s\in (\frac{1}{2},1)\), \(0
ISSN:1072-6691
1072-6691
DOI:10.58997/ejde.2021.39