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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2015, Volume 8, Issue 4, Pages 138–144
DOI: https://doi.org/10.14529/mmp150414
(Mi vyuru297)
 

This article is cited in 6 scientific papers (total in 6 papers)

Short Notes

Bounded solutions of Barenblatt–Zheltov–Kochina model in quasi-Sobolev spaces

M. A. Sagadeeva, F. L. Hasan

South Ural State University, Chelyabinsk, Russian Federation
Full-text PDF (504 kB) Citations (6)
References:
Abstract: The Sobolev type equations are studied quite complete in Banach spaces. Quasi-Sobolev spaces are quasi normalized complete spaces of sequences. Recently the Sobolev type equations began to be studied in these spaces. The paper is devoted to the study of boundary on axis solutions for the Barenblatt–Zheltov–Kochina model.
Apart the introdsction and bibliograthy the paper contain two parts. In the first one gives preliminary information about the properties of operators in quasi Banach spaces, as well as about the relatively bounded operator. The second part gives main result of the paper about boundary on axis solutions for the Barenblatt–Zheltov–Kochina model in quasi-Sobolev spaces. Note that reference list reflects the tastes of the author and can be supplemented.
Keywords: Sobolev type equation; spaces of sequances; Laplase quasi-operator; Grin function; analogue of Barenblatt–Zheltov–Kochina model.
Received: 29.08.2015
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 47D06, 47B37, 46B45
Language: Russian
Citation: M. A. Sagadeeva, F. L. Hasan, “Bounded solutions of Barenblatt–Zheltov–Kochina model in quasi-Sobolev spaces”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 8:4 (2015), 138–144
Citation in format AMSBIB
\Bibitem{SagHas15}
\by M.~A.~Sagadeeva, F.~L.~Hasan
\paper Bounded solutions of Barenblatt--Zheltov--Kochina model in quasi-Sobolev spaces
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2015
\vol 8
\issue 4
\pages 138--144
\mathnet{http://mi.mathnet.ru/vyuru297}
\crossref{https://doi.org/10.14529/mmp150414}
\elib{https://elibrary.ru/item.asp?id=24989391}
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  • This publication is cited in the following 6 articles:
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