Well-posedness and Scattering for the Critical Fractional Schrodinger Equations

被引：0
|
作者：
Hwang, Gyeongha [1 ]
机构：
[1] Yeungnam Univ, Dept Math, 280 Daehak Ro, Gyongsan 38541, Gyeongbuk, South Korea
来源：
FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA | 2020年 / 63卷 / 02期
关键词：
Fractional Schrodinger equation; Power type nonlinearity; Well-posedness; U-p; V-p space; Multilinear estimates;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Cauchy problem for the critical fractional Schrodinger equation with the power type nonlinearity. Hong-Sire [13] proved the local well-posedness, small data global well-posedness and scattering in cases of P > 5 when d = 1 and P > 3 when d >= 2. In this paper, we extend the results to the cases of P = 5 when d = 1 and P = 3 when d >= 2 by using U-p, V-p spaces introduced by Koch-Tataru [16, 17].
引用
收藏
页码：231 / 245
页数：15
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