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

页码：811 / 825

页数：15

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