Global existence and uniqueness for the magnetic Hartree equation

被引：3
|
作者：
Cao, Pei [1 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
JOURNAL OF EVOLUTION EQUATIONS | 2011年 / 11卷 / 04期
关键词：
Global existence; Uniqueness; Magnetic potential; STRICHARTZ;
D O I：
10.1007/s00028-011-0112-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider uy(t) = Ji + 1/vertical bar x vertical bar * vertical bar u vertical bar(2)u (x,t) is an element of R-N X R. Under appropriate assumptions, we can establish the local and global existence and uniqueness of the solution of the corresponding Cauchy problem that does not rely on Strichartz estimates.
引用
收藏
页码：811 / 825
页数：15
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