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Sibirskii Matematicheskii Zhurnal, 2022, Volume 63, Number 3, Pages 672–689
DOI: https://doi.org/10.33048/smzh.2022.63.315 (Mi smj7685) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Blow-up and global solvability of the Cauchy problem for a pseudohyperbolic equation related to the generalized Boussinesq equation

Kh. G. Umarovab

a Academy of Sciences of Chechen Republic
b Chechen State University, Groznyi
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DOI: https://doi.org/10.33048/smzh.2022.63.315
Abstract: Under consideration is the Cauchy problem in the space of continuous functions for a nonlinear strictly hyperbolic equation related to the generalized Boussinesq equation. We discuss the conditions for existence of a global classical solution and blow-up of a solution to the Cauchy problem on a finite time segment.
Keywords: sixth order generalized Boussinesq equation, nonlinear strictly pseudohyperbolic equation, global solution, blow-up.
Received: 27.07.2021
Revised: 03.02.2022
Accepted: 10.02.2022
English version:
Siberian Mathematical Journal, 2022, Volume 63, Issue 3, Pages 559–574
DOI: https://doi.org/10.1134/S0037446622030156
Document Type: Article
UDC: 517.958
MSC: 35R30
Language: Russian
Citation: Kh. G. Umarov, “Blow-up and global solvability of the Cauchy problem for a pseudohyperbolic equation related to the generalized Boussinesq equation”, Sibirsk. Mat. Zh., 63:3 (2022), 672–689; Siberian Math. J., 63:3 (2022), 559–574
Citation in format AMSBIB
\Bibitem{Uma22}
\by Kh.~G.~Umarov
\paper Blow-up and global solvability of the Cauchy problem for a~pseudohyperbolic equation related to the generalized Boussinesq equation
\jour Sibirsk. Mat. Zh.
\yr 2022
\vol 63
\issue 3
\pages 672--689
\mathnet{http://mi.mathnet.ru/smj7685}
\crossref{https://doi.org/10.33048/smzh.2022.63.315}
\transl
\jour Siberian Math. J.
\yr 2022
\vol 63
\issue 3
\pages 559--574
\crossref{https://doi.org/10.1134/S0037446622030156}
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