Global well-posedness and blow-up on the energy space for the inhomogeneous nonlinear Schrodinger equation

被引：86

作者：

Farah, Luiz G. ^{[1
]}

机构：

[1] Univ Fed Minas Gerais, ICEx, Av Antonio Carlos,6627,Caixa Postal 702, BR-30123970 Belo Horizonte, MG, Brazil

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2016年 / 16卷 / 01期

关键词：

SCATTERING; UNIQUENESS; EXISTENCE;

D O I：

10.1007/s00028-015-0298-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the supercritical inhomogeneous nonlinear Schrodinger equation i partial derivative(t)u + Delta u + vertical bar x vertical bar(-b) vertical bar u vertical bar(2 sigma) u = 0, where and (2-b)/N < sigma < (2-b)/(N-2) and 0 < b < min{2, N}. We prove a Gagliardo-Nirenberg-type estimate and use it to establish sufficient conditions for global existence and blow-up in H-1 (R-N).

引用

页码：193 / 208

页数：16

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