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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2019, Volume 172, Pages 119–133
DOI: https://doi.org/10.36535/0233-6723-2019-172-119-133 (Mi into551) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Classical solution of the mixed problem for a homogeneous wave equation with fixed endpoints

V. V. Kornev, A. P. Khromov

Saratov State University
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DOI: https://doi.org/10.36535/0233-6723-2019-172-119-133
Abstract: Using the Fourier method, we obtain necessary and sufficient conditions for the existence of a classical solution of the mixed problem for a homogeneous wave equation with summable potential and fixed endpoints and also obtain an explicit representation of the solution in the form of a rapidly converging series.
Keywords: mixed task, wave equation, summable potential, Fourier method.
Document Type: Article
UDC: 517.95, 517.984
MSC: 34B45, 35L05
Language: Russian
Citation: V. V. Kornev, A. P. Khromov, “Classical solution of the mixed problem for a homogeneous wave equation with fixed endpoints”, Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 3, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 172, VINITI, Moscow, 2019, 119–133
Citation in format AMSBIB
\Bibitem{KorKhr19}
\by V.~V.~Kornev, A.~P.~Khromov
\paper Classical solution of the mixed problem for a homogeneous wave equation with fixed endpoints
\inbook Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 3
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 172
\pages 119--133
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into551}
\crossref{https://doi.org/10.36535/0233-6723-2019-172-119-133}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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