L∞ bounds for Chern-Simons gauged equations in R1+1 and their applications

被引：1

作者：

Huh, Hyungjin ^{[1
]}

Yim, Jihyun ^{[2
]}

机构：

[1] Chung Ang Univ, Dept Math, Seoul 06974, South Korea

[2] Univ Seoul, Dept Gen Math, Seoul 02504, South Korea

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2021年 / 62卷 / 05期

基金：

新加坡国家研究基金会;

关键词：

MAPS;

D O I：

10.1063/5.0029683

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We estimate the L-infinity norm of the first derivative of the solution to the Chern-Simons gauged O(3) sigma model in R1+1 by using local energy conservation and observing the transport equation along the characteristic line. As an application of the bound, we improve the growth rate of the H-2 norm of the solution from an exponential to a polynomial one. We also apply a similar idea to the Chern-Simons-Higgs model. Published under license by AIP Publishing.

引用

页数：9

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