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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 4, Pages 573–583
DOI: https://doi.org/10.31857/S0044466923040026 (Mi zvmmf11535) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Partial Differential Equations

Blow-up of solutions and local solvability of an abstract Cauchy problem of second order with a noncoercive source

M. V. Artem'evaab, M. O. Korpusovab

a Faculty of Physics, Lomonosov Moscow State University, 119991, Moscow, Russia
b RUDN University, 117198, Moscow, Russia
Citations (2)
DOI: https://doi.org/10.31857/S0044466923040026
Abstract: An abstract Cauchy problem for a second-order differential equation with nonlinear operator coefficients is considered. The local solvability of the problem in suitable spaces of abstract continuous and differentiable functions is proved. Sufficient conditions for finite-time blow-up of its solutions are obtained.
Key words: nonlinear Sobolev-type equations, blow-up, local solvability, nonlinear capacity, estimates of blow-up time.
Received: 01.06.2022
Revised: 11.11.2022
Accepted: 15.12.2022
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 4, Pages 542–552
DOI: https://doi.org/10.1134/S0965542523040024
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. V. Artem'eva, M. O. Korpusov, “Blow-up of solutions and local solvability of an abstract Cauchy problem of second order with a noncoercive source”, Zh. Vychisl. Mat. Mat. Fiz., 63:4 (2023), 573–583; Comput. Math. Math. Phys., 63:4 (2023), 542–552
Citation in format AMSBIB
\Bibitem{ArtKor23}
\by M.~V.~Artem'eva, M.~O.~Korpusov
\paper Blow-up of solutions and local solvability of an abstract Cauchy problem of second order with a noncoercive source
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 4
\pages 573--583
\mathnet{http://mi.mathnet.ru/zvmmf11535}
\crossref{https://doi.org/10.31857/S0044466923040026}
\elib{https://elibrary.ru/item.asp?id=50502005}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 4
\pages 542--552
\crossref{https://doi.org/10.1134/S0965542523040024}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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