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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 2, Pages 272–289 (Mi smj23)  
This article is cited in 2 scientific papers (total in 2 papers)

Some problems for nonlinear pseudoparabolic equations in nontube domains

S. N. Glazatov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (270 kB) Citations (2)
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Abstract: We prove existence and uniqueness of a weak solution to the first initial-boundary value problem for some class of quasilinear pseudoparabolic equations in nontube domains. Also, we study unique solvability in these domains for the variational inequality connected with the above class of equations.
Keywords: nonlinear pseudoparabolic equation, nontube domain, first initial-boundary value problem, weak solution, variational inequality, penalty method.
Received: 01.12.2005
Revised: 09.11.2006
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 2, Pages 214–228
DOI: https://doi.org/10.1007/s11202-007-0023-3
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: S. N. Glazatov, “Some problems for nonlinear pseudoparabolic equations in nontube domains”, Sibirsk. Mat. Zh., 48:2 (2007), 272–289; Siberian Math. J., 48:2 (2007), 214–228
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/smj23
  • https://www.mathnet.ru/eng/smj/v48/i2/p272
    • This publication is cited in the following 2 articles:
    1. Pinigina N.R., “Solvability of Boundary Value Problems For a Class of Sobolev Type Equations in Noncylindrical Domains”, Differ. Equ., 51:2 (2015), 204–213  crossref  mathscinet  zmath  isi  elib  scopus
    2. Utkina E.A., “A boundary value problem with conditions on the entire boundary of a noncharacteristic domain for a fourth-order equation”, Dokl. Math., 84:1 (2011), 539–541  crossref  mathscinet  zmath  isi  elib  elib  scopus
    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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