Blow-up criteria for fractional nonlinear Schrodinger equations

被引：16
|
作者：
Van Duong Dinh [1 ,2 ]
机构：
[1] Univ Toulouse, CNRS, UMR5219, Inst Math Toulouse, F-31062 Toulouse 9, France
[2] HCMC Univ Pedag, Dept Math, 280 An Duong Vuong, Ho Chi Minh, Vietnam
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2019年 / 48卷
关键词：
Fractional nonlinear Schrodinger equation; Local well-posedness; Virial estimates; Blow-up criteria; SCATTERING;
D O I：
10.1016/j.nonrwa.2019.01.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the focusing fractional nonlinear Schrodinger equation i partial derivative(t)u-(-Delta)(s)u = -vertical bar u vertical bar(alpha)u, (t,x) is an element of R+ x R-d, where s is an element of (1/2,1) and alpha > 0. By using localized virial estimates, we establish general blow-up criteria for non-radial solutions to the equation. As consequences, we obtain blow-up criteria in both L-2-critical and L-2-supercritical cases which extend the results of Boulenger-Himmelsbach-Lenzmann (Boulenger et al., 2016) for non-radial initial data. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：117 / 140
页数：24
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