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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 2, Pages 229–241
DOI: https://doi.org/10.7868/S0044466915020052 (Mi zvmmf10153) 		 
This article is cited in 25 scientific papers (total in 25 papers)

The resolvent approach for the wave equation

M. Sh. Burlutskayaa, A. P. Khromovb

a Voronezh State University, Universitetskaya pl. 1, Voronezh, 394006, Russia
b Saratov State University, ul. Astrakhanskaya 83, Saratov, 410012, Russia
Full-text PDF (1017 kB) Citations (25)
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DOI: https://doi.org/10.7868/S0044466915020052
Abstract: Mixed problem for the wave equation (in the cases of fixed ends and periodic conditions) with minimal requirements to the initial data are studied. An approach based on the contour integration of the resolvent for the operator generated by the corresponding spectral problem is developed. This approach makes it possible to obtain a classical solution without using the asymptotics for eigenvalues or any information on eigenfunctions.
Key words: mixed problem, wave equation, Fourier method, classical solution, resolvent.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00238
14-01-00867
Ministry of Education and Science of the Russian Federation 1.1520.2014К
Received: 25.06.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 2, Pages 227–239
DOI: https://doi.org/10.1134/S0965542515020050
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: M. Sh. Burlutskaya, A. P. Khromov, “The resolvent approach for the wave equation”, Zh. Vychisl. Mat. Mat. Fiz., 55:2 (2015), 229–241; Comput. Math. Math. Phys., 55:2 (2015), 227–239
Citation in format AMSBIB
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    • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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