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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 73–91
DOI: https://doi.org/10.17377/semi.2017.14.009
(Mi semr763)
 

This article is cited in 4 scientific papers (total in 4 papers)

Differentical equations, dynamical systems and optimal control

On $2m$-th order parabolic equations with mixed boundary conditions in non-rectangular domains

S. Cherfaouia, A. Kessaba, A. Kheloufibc

a Department of Mathematics, University Haouari Boumediene, 16 111 Bab-Ezzouar, Algeria
b Lab. de Mathématiques Appliquées, Université de Bejaia, 6000 Béjaia, Algérie
c Lab. e.d.p.n.l. and Hist. of Maths, Ecole Normale Supérieure 16050-Kouba, Algiers, Algeria
Full-text PDF (204 kB) Citations (4)
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Abstract: This article is devoted to the analysis of a one-space dimensional high-order parabolic equation, subject to mixed boundary conditions. The problem is set in a (possibly non-regular) non-rectangular domain and the right hand side term of the equation is taken in a Lebesgue space.
Keywords: high-order parabolic equations, anisotropic Sobolev spaces, mixed conditions, non-rectangular domains.
Received October 10, 2016, published February 7, 2017
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35K05, 35K55
Language: English
Citation: S. Cherfaoui, A. Kessab, A. Kheloufi, “On $2m$-th order parabolic equations with mixed boundary conditions in non-rectangular domains”, Sib. Èlektron. Mat. Izv., 14 (2017), 73–91
Citation in format AMSBIB
\Bibitem{CheKesKhe17}
\by S.~Cherfaoui, A.~Kessab, A.~Kheloufi
\paper On $2m$-th order parabolic equations with mixed boundary conditions in~non-rectangular domains
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 73--91
\mathnet{http://mi.mathnet.ru/semr763}
\crossref{https://doi.org/10.17377/semi.2017.14.009}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000407792200013}
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  • https://www.mathnet.ru/eng/semr/v14/p73
  • 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
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    Full-text PDF :64
    References:55
     
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