[1]孟嘉乐.(1+1)维Maxwell - Chern - Simons - Higgs系统解的局部适定性[J].延边大学学报(自然科学版),2023,(04):341-344,371.
　MENG Jiale.Maxwell - Chern - Simons - Higgs system[J].Journal of Yanbian University,2023,(04):341-344,371.
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(1+1)维Maxwell - Chern - Simons - Higgs系统解的局部适定性

《延边大学学报(自然科学版)》[ISSN:1004-4353/CN:22-1191/N] 卷: 期数: 2023年04期 页码: 341-344,371 栏目: 应用科学研究 出版日期: 2023-12-30
Title:
Maxwell - Chern - Simons - Higgs system
文章编号:
1004-4353(2023)04-0341-05
作者:
孟嘉乐
( 延边大学 理学院, 吉林 延吉 133002 )
Author(s):
MENG Jiale
( College of Science, Yanbian University, Yanji 133002, China )
关键词:
Maxwell - Chern - Simons - Higgs系统;  Lorenz规范条件;  Sobolev嵌入不等式;  局部适定性
Keywords:
Maxwell - Chern - Simons - Higgs system;  Lorenz gauge condition;  Sobolev embedding inequality;  localwell - posedness
分类号:
O175.29
文献标志码:
A
摘要:
在Lorenz规范条件下,研究了(1+1)维Maxwell - Chern - Simons - Higgs波动系统.利用Sobolev嵌入不等式和压缩映射不动点定理证明了(1+1)维Maxwell - Chern - Simons - Higgs系统的Cauchy问题在H2×H1空间上具有局部适定性.
Abstract:
Under the Lorenz gauge condition, the(1+1)- dimensional Maxwell - Chern - Simons - Higgs wave system was studied.And the local well - posedness of the Cauchy problem of the(1+1)- dimensional Maxwell - Chern - Simons - Higgs system in H2×H1 space was proved by Sobolev embedding inequality and the contraction mapping fixed point theorem.

参考文献/References:

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备注/Memo

收稿日期: 2023-05-23
作者简介: 孟嘉乐(1999—),男,硕士研究生,研究方向为偏微分方程理论及其应用.

更新日期/Last Update: 2023-12-30