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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2016, Volume 16, Issue 4, Pages 403–413
DOI: https://doi.org/10.18500/1816-9791-2016-16-4-403-413 (Mi isu689) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Scientific Part
Mathematics

Resolvent approach to Fourier method in a mixed problem for non-homogeneous wave equation

V. V. Kornev, A. P. Khromov

Saratov State University, 83, Astrakhanskaya str., 410012, Saratov, Russia
Full-text PDF (200 kB) Citations (4)
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DOI: https://doi.org/10.18500/1816-9791-2016-16-4-403-413
Abstract: Fourier method of obtaining classic solution is being justified in a mixed problem for non-homogeneous wave equation with a complex potential and fixed boundary conditions under minimal conditions on initial data. The proof is based on resolvent approach which does not need any information on eigen and associated functions of the corresponding spectral problem.
Key words: mixed problem, wave equation, Fourier method, resolvent.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.1520.2014К
The results have been obtained in the framework of the national tasks of the Ministry of Education and Science of the Russian Federation (project no. 1.1520.2014K).
Bibliographic databases:
Document Type: Article
UDC: 517.95; 517.984
Language: Russian
Citation: V. V. Kornev, A. P. Khromov, “Resolvent approach to Fourier method in a mixed problem for non-homogeneous wave equation”, Izv. Saratov Univ. Math. Mech. Inform., 16:4 (2016), 403–413
Citation in format AMSBIB
\Bibitem{KorKhr16}
\by V.~V.~Kornev, A.~P.~Khromov
\paper Resolvent approach to Fourier method in a mixed problem for non-homogeneous wave equation
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2016
\vol 16
\issue 4
\pages 403--413
\mathnet{http://mi.mathnet.ru/isu689}
\crossref{https://doi.org/10.18500/1816-9791-2016-16-4-403-413}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3584325}
\elib{https://elibrary.ru/item.asp?id=27675053}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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