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.
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页码：811 / 825
页数：15
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