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

Local and global solutions of the Chern–Simons–Higgs system
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DOI:
10.1016/j.jfa.2006.09.009
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发表时间:
2007-01
影响因子:
1.7
通讯作者:
Hyungjin Huh
Hyungjin Huh
中科院分区:
数学1区
文献类型:
--
作者:
Hyungjin Huh

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我们研究陈-西蒙斯-希格斯方程的低正则解。洛伦兹规范条件使它们成为零形式的双曲方程。在库仑规范条件下,它们用双曲方程和椭圆方程表示。 div-curl 分解用于时间量规中。
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.