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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 4, Pages 879–890
DOI: https://doi.org/10.17377/smzh.2018.59.411
(Mi smj3016)
 

This article is cited in 6 scientific papers (total in 6 papers)

Regularization of a solution to the Cauchy problem with data on a timelike plane

V. G. Romanov

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (270 kB) Citations (6)
References:
Abstract: A regularizing algorithm is constructed for solving the problem of extension of a wave field from the boundary to the interior of a half-plane. The cases are considered of the wave equation and hyperbolic equations with variable lower order coefficients.
Keywords: Cauchy problem, extension of a wave field, regularization.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations II.1, 0314-2018-0009
The author was supported by the Complex Program of Basic Scientific Research of the Siberian Branch of the Russian Academy of Sciences (No. II.1; Grant 0314-2018-0009).
Received: 03.05.2018
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 4, Pages 694–704
DOI: https://doi.org/10.1134/S0037446618040110
Bibliographic databases:
Document Type: Article
UDC: 517.968
Language: Russian
Citation: V. G. Romanov, “Regularization of a solution to the Cauchy problem with data on a timelike plane”, Sibirsk. Mat. Zh., 59:4 (2018), 879–890; Siberian Math. J., 59:4 (2018), 694–704
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/smj/v59/i4/p879
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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    Abstract page:302
    Full-text PDF :78
    References:60
    First page:5
     
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