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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2024, Volume 64, Number 8, Pages 1466–1475
DOI: https://doi.org/10.31857/S0044466924080111 (Mi zvmmf11814) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Partial Differential Equations

Energy estimates for one class of pseudohyperbolic operators with variable coefficients

G. V. Demidenko

Novosibirsk State University, 630090, Novosibirsk, Russia
Full-text PDF Citations (2)
DOI: https://doi.org/10.31857/S0044466924080111
Abstract: A class of fourth-order strictly pseudohyperbolic operators with variable coefficients is considered. Energy estimates are established under certain conditions on the coefficients. These estimates imply the uniqueness of the solution to the Cauchy problem and a priori estimates.
Key words: equations unsolved with respect to the highest order derivative, pseudohyperbolic operators, weighted Sobolev spaces, energy estimates.
Funding agency Grant number
Russian Science Foundation 24-21-00370
This work was supported by the Russian Science Foundation, project no. 24-21-00370, https://rscf.ru/en/project/24-21-00370/.
Received: 10.03.2024
Revised: 10.03.2024
Accepted: 05.05.2024
English version:
Computational Mathematics and Mathematical Physics, 2024, Volume 64, Issue 8, Pages 1755–1764
DOI: https://doi.org/10.1134/S0965542524700805
Bibliographic databases:
Document Type: Article
UDC: 517.922
Language: Russian
Citation: G. V. Demidenko, “Energy estimates for one class of pseudohyperbolic operators with variable coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 64:8 (2024), 1466–1475; Comput. Math. Math. Phys., 64:8 (2024), 1755–1764
Citation in format AMSBIB
\Bibitem{Dem24}
\by G.~V.~Demidenko
\paper Energy estimates for one class of pseudohyperbolic operators with variable coefficients
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2024
\vol 64
\issue 8
\pages 1466--1475
\mathnet{http://mi.mathnet.ru/zvmmf11814}
\crossref{https://doi.org/10.31857/S0044466924080111}
\elib{https://elibrary.ru/item.asp?id=75224109}
\transl
\jour Comput. Math. Math. Phys.
\yr 2024
\vol 64
\issue 8
\pages 1755--1764
\crossref{https://doi.org/10.1134/S0965542524700805}
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  • https://www.mathnet.ru/eng/zvmmf/v64/i8/p1466
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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