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University proceedings. Volga region. Physical and mathematical sciences, 2009, Issue 4, Pages 70–84 (Mi ivpnz713)  
This article is cited in 4 scientific papers (total in 4 papers)

Mathematics

The method of pseudodifferential operators for the study of a volumetric singular integral equation of an electric field

D. V. Valovik, Yu. G. Smirnov

Penza State University, Penza
Full-text PDF (377 kB) Citations (4)
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Abstract: The problem of diffraction electromagnetic waves on a volume body in a free space is considered. The issue is studied by pseudodifferential operators technique. Asymptotic expansion of the operator's symbol is obtained. Ellipticity and Fredholm property with zero index of the operator of the problem are proved.
Keywords: Maxwell equation, pseudodifferential operators, diffraction problem.
UDC: 517.958; 517.968.23
Language: Russian
Citation: D. V. Valovik, Yu. G. Smirnov, “The method of pseudodifferential operators for the study of a volumetric singular integral equation of an electric field”, University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 4, 70–84
Citation in format AMSBIB
\Bibitem{ValSmi09}
\by D.~V.~Valovik, Yu.~G.~Smirnov
\paper The method of pseudodifferential operators for the study of a volumetric singular integral equation of an electric field
\jour University proceedings. Volga region. Physical and mathematical sciences
\yr 2009
\issue 4
\pages 70--84
\mathnet{http://mi.mathnet.ru/ivpnz713}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		University proceedings. Volga region. Physical and mathematical sciences
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