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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 6, Pages 1289–1303
DOI: https://doi.org/10.17377/smzh.2015.56.607
(Mi smj2713)
 

This article is cited in 24 scientific papers (total in 24 papers)

Solvability conditions of the Cauchy problem for pseudohyperbolic equations

G. V. Demidenkoab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
References:
Abstract: We consider a class of strictly pseudohyperbolic equations with lower order terms. Energy estimates are obtained and solvability conditions of the Cauchy problem in Sobolev spaces with an exponential weight are established.
Keywords: Sobolev-type equation, pseudohyperbolic equation, energy estimate.
Received: 17.06.2015
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 6, Pages 1028–1041
DOI: https://doi.org/10.1134/S0037446615060075
Bibliographic databases:
Document Type: Article
UDC: 517.955
Language: Russian
Citation: G. V. Demidenko, “Solvability conditions of the Cauchy problem for pseudohyperbolic equations”, Sibirsk. Mat. Zh., 56:6 (2015), 1289–1303; Siberian Math. J., 56:6 (2015), 1028–1041
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/smj/v56/i6/p1289
  • This publication is cited in the following 24 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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