R1+1中Maxwell-Chern-Simons-Higgs模型解的L∞估计OACSTPCD
L∞ Estimation for Solution of Maxwell-Chern-Simons-Higgs Model in R1+1
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H2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 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.
金广辉;周羽
延边大学理学院,吉林延吉 133002
数学
Chern-Simons理论规范不变性特征线估计L∞估计H2范数增长
Chern-Simons theorygauge invariancecharacteristic line estimationL∞ estimationH2 norm growth
《吉林大学学报（理学版）》 2024 (001)
49-54 / 6
吉林省科技发展计划项目(批准号:YDZJ202201ZYTS311).
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