具有慢稳定填充介质特性的非均匀各向异性波导中的Maxwell系统

IF 0.7 4区数学 Q2 MATHEMATICS

St Petersburg Mathematical Journal Pub Date : 2023-07-26 DOI:10.1090/spmj/1773

B. Plamenevskii, A. Poretskii

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引用次数: 0

摘要

在具有多个圆柱出口到无穷远的区域上，研究了具有完全导电边界条件的平稳麦克斯韦系统。假设介电常数和磁导率是任意正定的矩阵值函数，在无穷远处缓慢稳定。引入散射矩阵，建立了具有无穷远辐射条件的问题的唯一可解性，并描述了其解的渐近性。

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The Maxwell system in nonhomogeneous anisotropic waveguides with slowly stabilizing characteristics of the filling medium

In a domain having several cylindrical outlets to infinity, the stationary Maxwell system with perfectly conductive boundary conditions is studied. The dielectric permittivity and magnetic permeability are assumed to be arbitrary positive definite matrix-valued functions that slowly stabilize at infinity. The authors introduce the scattering matrix, establish the unique solvability of the problem with radiation conditions at infinity, and describe the asymptotics of solutions.

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来源期刊

St Petersburg Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.