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Izvestiya: Mathematics, 2007, Volume 71, Issue 3, Pages 495–544
DOI: https://doi.org/10.1070/IM2007v071n03ABEH002366 (Mi im566) 		 
This article is cited in 14 scientific papers (total in 14 papers)

The statement and solubility of boundary-value problems for Maxwell's equations in a cylinder

A. L. Delitsyn

M. V. Lomonosov Moscow State University, Faculty of Physics
English version PDF (578 kB) Citations (14)
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DOI: https://doi.org/10.1070/IM2007v071n03ABEH002366
Abstract: The paper deals with two problems of waveguide theory: the problem of radiation of electromagnetic waves in a regular waveguide with a filling variable in the cross-sections, and the problem of diffraction of an electromagnetic wave on a scatterer in a hollow waveguide. We consider radiation conditions and the solubility of the boundary-value problem for Maxwell's equations in a cylinder. We study several spectral problems connected with radiation conditions.
Received: 01.12.2004
Revised: 22.09.2006
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2007, Volume 71, Issue 3, Pages 61–112
DOI: https://doi.org/10.4213/im566
Bibliographic databases:
UDC: 517.95
MSC: 78A40, 35Q60
Language: English
Original paper language: Russian
Citation: A. L. Delitsyn, “The statement and solubility of boundary-value problems for Maxwell's equations in a cylinder”, Izv. RAN. Ser. Mat., 71:3 (2007), 61–112; Izv. Math., 71:3 (2007), 495–544
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2007v071n03ABEH002366
  • https://www.mathnet.ru/eng/im/v71/i3/p61
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:1067
    Russian version PDF:687
    English version PDF:7
    References:79
    First page:9
     
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