On instability of standing waves for the mass-supercritical fractional nonlinear Schrodinger equation

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：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2019年 / 70卷 / 02期
关键词：
Fractional nonlinear Schrodinger equation; Standing wave; Instability; Localized virial estimate; Blow-up; STABILITY; EXISTENCE; BLOWUP;
D O I：
10.1007/s00033-019-1104-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the focusing L-2-supercritical fractional nonlinear Schrodinger equation By means of the localized virial estimate, we prove that the ground-state standing wave is strongly unstable by blowup. This result is a complement to a recent result of Peng-Shi (J Math Phys 59: 011508, 2018) where the stability and instability of standing waves were studied in the L-2-subcritical and L-2-critical cases.
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页数：17
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