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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2021, Volume 27, Number 4, Pages 215–238
DOI: https://doi.org/10.21538/0134-4889-2021-27-4-215-238 (Mi timm1873) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Divergent series in the Fourier method for the wave equation

A. P. Khromov, V. V. Kornev

Saratov State University
Full-text PDF (285 kB) Citations (10)
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DOI: https://doi.org/10.21538/0134-4889-2021-27-4-215-238
Abstract: Series of formal solutions of two mixed problems for the wave equation are studied by a method based on the application of divergent series in the sense of Euler. The validity of this method is proved. The method is very economical in the use of well-known mathematical facts, which opens up the prospect of significant progress in the study of boundary value problems for partial differential equations.
Keywords: Fourier method, mixed problem, wave equation, divergent series, resolvent.
Received: 18.03.2021
Revised: 13.05.2021
Accepted: 17.05.2021
Bibliographic databases:
Document Type: Article
UDC: 517.96;517.984
MSC: 35L20, 35C10
Language: Russian
Citation: A. P. Khromov, V. V. Kornev, “Divergent series in the Fourier method for the wave equation”, Trudy Inst. Mat. i Mekh. UrO RAN, 27, no. 4, 2021, 215–238
Citation in format AMSBIB
\Bibitem{KhrKor21}
\by A.~P.~Khromov, V.~V.~Kornev
\paper Divergent series in the Fourier method for the wave equation
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2021
\vol 27
\issue 4
\pages 215--238
\mathnet{http://mi.mathnet.ru/timm1873}
\crossref{https://doi.org/10.21538/0134-4889-2021-27-4-215-238}
\elib{https://elibrary.ru/item.asp?id=47228427}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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