LOW FREQUENCY ASYMPTOTICS AND ELECTRO-MAGNETO-STATICS FOR TIME-HARMONIC MAXWELL'S EQUATIONS IN EXTERIOR WEAK LIPSCHITZ DOMAINS WITH MIXED BOUNDARY CONDITIONS

被引：0
作者：
Osterbrink, Frank [1 ]
Pauly, Dirk [1 ]
机构：
[1] Univ Duisburg Essen, Fak Math, D-45141 Essen, Germany
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2020年 / 52卷 / 05期
关键词：
low frequency asymptotics; exterior boundary value problems; Maxwell's equations; electro-magneto-statics; radiating solutions; Dirichlet-Neumann fields; Hodge-Helmholtz decompositions; cohomology groups; polynomial decay of eigensolutions; GENERALIZED LINEAR ELASTICITY; RADIATION;
D O I：
10.1137/19M1300182
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that the time-harmonic solutions to Maxwell's equations in a three-dimensional exterior domain converge to a certain static solution as the frequency tends to zero. We work in weighted Sobolev spaces and construct new compactly supported replacements for Dirichlet-Neumann fields. Moreover, we even show convergence in operator norm.
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页码：4971 / 5000
页数：30
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