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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 10, Pages 1692–1707
DOI: https://doi.org/10.7868/S0044466917100106 (Mi zvmmf10627) 		 
This article is cited in 5 scientific papers (total in 5 papers)

A mixed problem for an inhomogeneous wave equation with a summable potential

V. V. Kornev, A. P. Khromov

Saratov State University, Saratov, Russia
Full-text PDF (235 kB) Citations (5)
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DOI: https://doi.org/10.7868/S0044466917100106
Abstract: A mixed problem for an inhomogeneous wave equation with fixed ends in the case of a summable potential is studied. Using the Krylov method for acceleration of the convergence of Fourier series, a classical solution under minimal conditions on the initial data and a generalized solution in the case of quadratic summable initial data and perturbing function are obtained.
Key words: mixed problem for the wave equation, resolvent, Fourier method, Bessel inequality, summed potential.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.1520.2014К
Received: 31.05.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 10, Pages 1666–1681
DOI: https://doi.org/10.1134/S0965542517100104
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: V. V. Kornev, A. P. Khromov, “A mixed problem for an inhomogeneous wave equation with a summable potential”, Zh. Vychisl. Mat. Mat. Fiz., 57:10 (2017), 1692–1707; Comput. Math. Math. Phys., 57:10 (2017), 1666–1681
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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