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

页码：231 / 245

页数：15

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