Local and global solutions of the Chern-Simons-Higgs system

被引：22
|
作者：
Huh, Hyungjin [1 ]
机构：
[1] Kyoto Univ, Dept Math, Kyoto 6068502, Japan
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2007年 / 242卷 / 02期
基金：
日本学术振兴会;
关键词：
Chern-Simons-Higgs; gauge condition; null form; elliptic feature; div-curl decomposition;
D O I：
10.1016/j.jfa.2006.09.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study low regularity solutions of the Chern-Simons--Higgs equations. The Lorentz gauge condition makes them hyperbolic equations with the null form. Under the Coulomb gauge condition they are formulated in the hyperbolic equation coupled with elliptic equation. The div-curl decomposition is used in the temporal gauge. (C) 2006 Elsevier Inc. All rights reserved.
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页码：526 / 549
页数：24
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