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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 2, Pages 272–286 (Mi zvmmf705)  
This article is cited in 4 scientific papers (total in 4 papers)

On the finite-time blowup of solutions to initial–boundary value problems for pseudoparabolic equations with pseudo-Laplacian

M. O. Korpusov, A. G. Sveshnikov

Faculty of Physics, Moscow State University, Moscow, 119992, Russia
Full-text PDF (1625 kB) Citations (4)
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Abstract: Initial–boundary value problems for pseudoparabolic equations with pseudo-Laplacian are considered. The local and global unique solvability of the problems under consideration is proved in a weakened sense. Furthermore, sufficient conditions for the blowup of solutions in a finite time are obtained. For certain problems, upper bounds are found for the blowup time of solutions. A physical interpretation of the results is presented.
Key words: initial–boundary value problem for pseudoparabolic equations, blowup of solutions in a certain time.
Received: 26.02.2004
Bibliographic databases:
Document Type: Article
UDC: 519.633.8
Language: Russian
Citation: M. O. Korpusov, A. G. Sveshnikov, “On the finite-time blowup of solutions to initial–boundary value problems for pseudoparabolic equations with pseudo-Laplacian”, Zh. Vychisl. Mat. Mat. Fiz., 45:2 (2005), 272–286; Comput. Math. Math. Phys., 45:2 (2005), 261–274
Citation in format AMSBIB
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\by M.~O.~Korpusov, A.~G.~Sveshnikov
\paper On the finite-time blowup of solutions to initial--boundary value problems for pseudoparabolic equations with pseudo-Laplacian
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 2
\pages 272--286
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2158669}
\zmath{https://zbmath.org/?q=an:1127.35342}
\elib{https://elibrary.ru/item.asp?id=9131840}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 2
\pages 261--274
\elib{https://elibrary.ru/item.asp?id=13502129}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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