Some properties of the Cauchy-type integral for the time harmonic Maxwell equations (Q1865930)
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scientific article; zbMATH DE number 1890585
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some properties of the Cauchy-type integral for the time harmonic Maxwell equations |
scientific article; zbMATH DE number 1890585 |
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Some properties of the Cauchy-type integral for the time harmonic Maxwell equations (English)
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6 October 2003
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For the time-harmonic Maxwell equations an analogue of the Cauchy-type integral is studied together with bounday value questions (Sokhotski-Plemelj). This is firstly presented in the real setting, then the necessary quaternionic analysis is done. The function theory of the quaternionic Maxwell operator is then used to prove the theorems stated in the first section.
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Maxwell equations
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Cauchy-type integral
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quaternionic analysis
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boundary values
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Sokhotski-Plemelj theorem
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