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R1+1中Maxwell-Chern-Simons-Higgs模型解的L∞估计

金广辉 周羽

吉林大学学报(理学版)2024,Vol.62Issue(1):49-54,6.
吉林大学学报(理学版)2024,Vol.62Issue(1):49-54,6.DOI:10.13413/j.cnki.jdxblxb.2023125

R1+1中Maxwell-Chern-Simons-Higgs模型解的L∞估计

L∞ Estimation for Solution of Maxwell-Chern-Simons-Higgs Model in R1+1

金广辉 1周羽1

作者信息

  • 1. 延边大学理学院,吉林延吉 133002
  • 折叠

摘要

Abstract

We used the methods of conservative energy estimation and characteristic line estimation to solve the Sobolev norm growth estimation problem of the solution of the(1+1)-dimensional Maxwell-Chern-Simons-Higgs model,gave the L∞ estimation of the first derivative of the finite energy solution of the model,and obtained the polynomial growth of the H2 norm of the solution by improving the exponential growth.

关键词

Chern-Simons理论/规范不变性/特征线估计/L∞估计/H2范数增长

Key words

Chern-Simons theory/gauge invariance/characteristic line estimation/L∞ estimation/H2 norm growth

分类

数理科学

引用本文复制引用

金广辉,周羽..R1+1中Maxwell-Chern-Simons-Higgs模型解的L∞估计[J].吉林大学学报(理学版),2024,62(1):49-54,6.

基金项目

吉林省科技发展计划项目(批准号:YDZJ202201ZYTS311). (批准号:YDZJ202201ZYTS311)

吉林大学学报(理学版)

OA北大核心CSTPCD

1671-5489

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