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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 3, Pages 92–95 (Mi ivm8448)  
This article is cited in 8 scientific papers (total in 8 papers)

Brief communications

The unique solvability of a certain nonlocal nonlinear problem with a spatial operator strongly monotone with respect to the gradient

O. V. Glyzarina, M. F. Pavlova

Chair of Computational Mathematics, Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (155 kB) Citations (8)
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Abstract: We consider a nonlinear degenerate parabolic equation whose spatial operator depends on a nonlocal characteristic of the solution. We prove the uniqueness of the solution in the class of vector-valued functions that take on values in Sobolev spaces.
Keywords: parabolic equation, monotone operator, nonlocal operator, uniqueness.
Presented by the member of Editorial Board: R. Z. Dautov
Received: 22.09.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 3, Pages 83–86
DOI: https://doi.org/10.3103/S1066369X12030103
Bibliographic databases:
Document Type: Article
UDC: 517.63
Language: Russian
Citation: O. V. Glyzarina, M. F. Pavlova, “The unique solvability of a certain nonlocal nonlinear problem with a spatial operator strongly monotone with respect to the gradient”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 3, 92–95; Russian Math. (Iz. VUZ), 56:3 (2012), 83–86
Citation in format AMSBIB
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\by O.~V.~Glyzarina, M.~F.~Pavlova
\paper The unique solvability of a~certain nonlocal nonlinear problem with a~spatial operator strongly monotone with respect to the gradient
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 3
\pages 92--95
\mathnet{http://mi.mathnet.ru/ivm8448}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3076521}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 3
\pages 83--86
\crossref{https://doi.org/10.3103/S1066369X12030103}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862690381}
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  • https://www.mathnet.ru/eng/ivm/y2012/i3/p92
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:46
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