R^(1+1)中Maxwell-Chern-Simons-Higgs模型解的L^(∞)估计  

L^(∞) Estimation for Solution of Maxwell-Chern-Simons-Higgs Model in ℝ^(1+1)

作　　者：金广辉 周羽 JIN Guanghui;ZHOU Yu(College of Sciences,Yanbian University,Yanji 133002,Jilin Province,China)

机构地区：[1]延边大学理学院,吉林延吉133002

出　　处：《吉林大学学报（理学版）》2024年第1期49-54,共6页Journal of Jilin University:Science Edition

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

摘　　要：用能量守恒估计和特征线估计的方法解决(1+1)维Maxwell-Chern-Simons-Higgs模型解的Sobolev范数增长性估计问题,给出模型有限能量解的一阶导数的L^(∞)估计,并通过改进指数增长得到解的H^(2)范数的多项式增长.We used the methods of conservative energy estimation and characteristic line estimation to solve the Sobolev norm growth es timation 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 H 2 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 

分 类 号：O175.29[理学—数学]