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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 7, Pages 1081–1092 (Mi zvmmf3236)  
This article is cited in 6 scientific papers (total in 6 papers)

Application of the method of generalized potentials to the solution of certain problems in the theory of the diffraction and propagation of waves

Yu. V. Shestopalov

Moscow
Full-text PDF (1177 kB) Citations (6)
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Abstract: The nature of the singularities of the limiting values of the derivatives of generalized two-dimensional single and double layer potentials on the boundaries of contours of a certain type has been studied. Applications of the method of generalized potentials to the solution of boundary-value problems for the Helmholtz equation, which arise in the theory of the diffraction and propagation of waves, are considered.
Received: 29.12.1988
Revised: 25.10.1989
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 4, Pages 83–91
DOI: https://doi.org/10.1016/0041-5553(90)90047-V
Bibliographic databases:
Document Type: Article
UDC: 517.958
MSC: Primary 31A15; Secondary 35J05, 35C05
Language: Russian
Citation: Yu. V. Shestopalov, “Application of the method of generalized potentials to the solution of certain problems in the theory of the diffraction and propagation of waves”, Zh. Vychisl. Mat. Mat. Fiz., 30:7 (1990), 1081–1092; U.S.S.R. Comput. Math. Math. Phys., 30:4 (1990), 83–91
Citation in format AMSBIB
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\by Yu.~V.~Shestopalov
\paper Application of the method of generalized potentials to the solution of certain problems in the theory of the diffraction and propagation of waves
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 7
\pages 1081--1092
\mathnet{http://mi.mathnet.ru/zvmmf3236}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1070552}
\zmath{https://zbmath.org/?q=an:0713.31001}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 4
\pages 83--91
\crossref{https://doi.org/10.1016/0041-5553(90)90047-V}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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