Almost Sure Well-Posedness of Fractional Schrodinger Equations with Hartree Nonlinearity

被引：1
|
作者：
Hwang, Gyeongha [1 ]
机构：
[1] Natl Taiwan Univ, Natl Ctr Theoret Sci, 1,Sec 4,Roosevelt Rd, Taipei 10617, Taiwan
来源：
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 2018年 / 54卷 / 01期
关键词：
Nonlinear Schrodinger equation; fractional Schrodinger equation; Hartree non linearity; almost sure well-posedness; WAVE EQUATION; INSTABILITY; SCATTERING; REGULARITY;
D O I：
10.4171/PRIMS/54-1-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider a Cauchy problem of an energy-critical fractional Schrodinger equation with Hartree nonlinearity below the energy space. Using randomization of functions on R-d associated with the Wiener decomposition, we prove that the Cauchy problem is almost surely locally well posed. Our result includes the Hartree Schrodinger equation (alpha = 2).
引用
收藏
页码：1 / 44
页数：44
相关论文
共 50 条
12345