ON THE ORBITAL STABILITY OF FRACTIONAL SCHRODINGER EQUATIONS

被引：43
作者：
Cho, Yonggeun [1 ,2 ]
Hajaiej, Hichem [3 ]
Hwang, Gyeongha [4 ]
Ozawa, Tohru [5 ]
机构：
[1] Chonbuk Natl Univ, Dept Math, Jeonju 561756, South Korea
[2] Chonbuk Natl Univ, Inst Pure & Appl Math, Jeonju 561756, South Korea
[3] King Saud Univ, Dept Math, Riyadh 11451, Saudi Arabia
[4] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea
[5] Waseda Univ, Dept Appl Phys, Tokyo 1698555, Japan
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2014年 / 13卷 / 03期
关键词：
Fractional Schrodinger equation; Hartree type nonlinearity; Strichartz estimates; finite time blowup; CONCENTRATION-COMPACTNESS PRINCIPLE; CALCULUS;
D O I：
10.3934/cpaa.2014.13.1267
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show the existence of ground state and orbital stability of standing waves of fractional Schrodinger equations with power type nonlinearity. For this purpose we establish the uniqueness of weak solutions.
引用
收藏
页码：1267 / 1282
页数：16
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