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Moscow Mathematical Journal, 2016, Volume 16, Number 2, Pages 299–321
DOI: https://doi.org/10.17323/1609-4514-2016-16-2-299-321 (Mi mmj601) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Separable differential operators and applications

Veli B. Shakhmurovab

a Department of Mechanical Engineering, Okan University, Akfirat, Tuzla 34959 Istanbul, Turkey
b Department of Mathematics, Azerbaycan Khazar University
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DOI: https://doi.org/10.17323/1609-4514-2016-16-2-299-321
Abstract: The nonlocal boundary value problems for degenerate differential-operator equations with variable coefficients are studied. The $L_p$ separability properties of elliptic problems and well-posedeness of parabolic problems in mixed $L_\mathbf p$ spaces are derived. Then by using the regularity properties of linear problems, the existence and uniqueness of solution of nonlinear elliptic problem is obtained. Note that applications of these problems can be models of different physics process.
Key words and phrases: abstract harmonic analysis, differential-operator equations, degenerate PDE, semigroups of operators, Sobolev–Lions spaces, separable differential operators.
Received: September 23, 2014; in revised form April 8, 2015
Bibliographic databases:
Document Type: Article
MSC: 35xx, 35Kxx, 47Hxx, 34Bxx, 43Axx, 46Bxx
Language: English
Citation: Veli B. Shakhmurov, “Separable differential operators and applications”, Mosc. Math. J., 16:2 (2016), 299–321
Citation in format AMSBIB
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\by Veli~B.~Shakhmurov
\paper Separable differential operators and applications
\jour Mosc. Math.~J.
\yr 2016
\vol 16
\issue 2
\pages 299--321
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\crossref{https://doi.org/10.17323/1609-4514-2016-16-2-299-321}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3480705}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000391209600004}
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    • This publication is cited in the following 6 articles:
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