Complete Low Frequency Asymptotics for Time-Harmonic Generalized Maxwell Equations in Nonsmooth Exterior Domains

Details Complete Low Frequency Asymptotics for Time-Harmonic Generalized Maxwell Equations in Nonsmooth Exterior Domains Complete Low Frequency Asymptotics for Time-Harmonic Generalized Maxwell Equations in Nonsmooth Exterior Domains

2011-05-20

arxiv.org/abs/1105.4088v1

Asymptotic Analysis, 60 (3-4), (2008), 125-184

Mathematics

Analysis of PDEs

Key Words: low frequency asymptotics, Maxwell's equations, exterior boundary value problems, variable coefficients, electro-ma

Scientific paper

We continue the study of the operator of generalized Maxwell equations and completely discover the behavior of the solutions of the time-harmonic equations as the frequency tends to zero. Thereby, we identify degenerate operators in terms of special 'polynomially growing' solutions of a corresponding static problem, which must be added to the 'usual' Neumann series in order to describe the low frequency asymptotic adequately.

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