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Ufa Mathematical Journal, 2014, Volume 6, Issue 4, Pages 31–47
DOI: https://doi.org/10.13108/2014-6-4-31 (Mi ufa258) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Existence of solution for parabolic equation with non-power nonlinearities

E. R. Andriyanovaa, F. Kh. Mukminovb

a Ufa State Aviation Technical University, Ufa, Russia
b Bashkir State University, Ufa, Russia
English version PDF (431 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.13108/2014-6-4-31
Abstract: We consider the first mixed problem for a class of parabolic equation with double non-exponential nonlinearities in a cylindrical domain $D=(t>0)\times\Omega$. By Galerkin's approximations we prove the existence of strong solutions in Sobolev–Orlich space.
Keywords: parabolic equation, $N$-functions, existence of solution, Sobolev–Orlich spaces.
Received: 23.09.2014
Bibliographic databases:
Document Type: Article
UDC: 517.946
MSC: 35D05, 35B50, 35B45, 35K55
Language: English
Original paper language: Russian
Citation: E. R. Andriyanova, F. Kh. Mukminov, “Existence of solution for parabolic equation with non-power nonlinearities”, Ufa Math. J., 6:4 (2014), 31–47
Citation in format AMSBIB
\Bibitem{AndMuk14}
\by E.~R.~Andriyanova, F.~Kh.~Mukminov
\paper Existence of solution for parabolic equation with non-power nonlinearities
\jour Ufa Math. J.
\yr 2014
\vol 6
\issue 4
\pages 31--47
\mathnet{http://mi.mathnet.ru//eng/ufa258}
\crossref{https://doi.org/10.13108/2014-6-4-31}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928238743}
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  • https://doi.org/10.13108/2014-6-4-31
  • https://www.mathnet.ru/eng/ufa/v6/i4/p32
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Уфимский математический журнал
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    Abstract page:432
    Russian version PDF:170
    English version PDF:21
    References:90
     
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