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Zur lösungstheorie der zeitunabhängigen Maxwell-schen gleichungen mit der randbedingung n·b=n·d=0 in anisotropen, inhomogenen medien

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Abstract

A contribution to the theory of Maxwell's equation in the time-independent case with the boundary condition n·B=n·D=0 (n outer normal) for the interior and exterior problem of a bounded domain G⊂R3 is given by means of Hilbert space methods. The problem is reduced to one with the boundary condition (in classical notation) n·curl E=n·curl H=0, which permits partial integration of the curl-operator. Carrying the existence and uniqueness theorems which are available in this case back to the original boundary value problem we get corresponding results.

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Authors and Affiliations

  1. Institut für angewandte Mathematik, Rheinische Friedrich-Wilhelms-Universität, Wegelerstr. 10, 53 Bonn

    Rainer Picard

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  1. Rainer Picard
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Picard, R. Zur lösungstheorie der zeitunabhängigen Maxwell-schen gleichungen mit der randbedingung n·b=n·d=0 in anisotropen, inhomogenen medien. Manuscripta Math 13, 37–52 (1974). https://doi.org/10.1007/BF01168741

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  • DOI: https://doi.org/10.1007/BF01168741

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