Uniform separable differential operators with parameters

dc.authorscopusid 36013313700
dc.authorscopusid 36049459000
dc.authorscopusid 6508234400
dc.authorwosid Shakhmurov, Veli/AAG-8871-2019
dc.contributor.author Agarwal, Ravi P.
dc.contributor.author O'Regan, Donal
dc.contributor.author Shakhmurov, Veli B.
dc.date.accessioned 2024-05-25T11:23:07Z
dc.date.available 2024-05-25T11:23:07Z
dc.date.issued 2010
dc.department Okan University en_US
dc.department-temp [Agarwal, Ravi P.] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA; [Agarwal, Ravi P.] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia; [O'Regan, Donal] Natl Univ Ireland, Dept Math, Galway, Ireland; [Shakhmurov, Veli B.] Okan Univ, Dept Elect Engn & Commun, TR-34959 Istanbul, Turkey en_US
dc.description.abstract In this paper we study boundary value problems for anisotropic partial differential-operator equations with parameters. The principal part of the appropriate differential operators are not self-adjoint. Several conditions for the uniform separability in weighted Banach-valued L-p-spaces are given. Sharp estimates for the resolvent of the corresponding differential operator are obtained. In particular the positivity and R-positivity of these operators are established. As an application we study the separability of degenerate DOEs, maximal regularity for degenerate abstract parabolic problem with parameters, the uniform separability of finite and infinite systems for degenerate anisotropic partial differential equations with parameters. (c) 2009 The Franklin Institute. Published by Elsevier Ltd. All rights reserved. en_US
dc.identifier.citationcount 4
dc.identifier.doi 10.1016/j.jfranklin.2009.06.003
dc.identifier.endpage 16 en_US
dc.identifier.issn 0016-0032
dc.identifier.issn 1879-2693
dc.identifier.issue 1 en_US
dc.identifier.scopus 2-s2.0-73649142049
dc.identifier.scopusquality Q1
dc.identifier.startpage 2 en_US
dc.identifier.uri https://doi.org/10.1016/j.jfranklin.2009.06.003
dc.identifier.uri https://hdl.handle.net/20.500.14517/686
dc.identifier.volume 347 en_US
dc.identifier.wos WOS:000273625200002
dc.identifier.wosquality Q1
dc.language.iso en
dc.publisher Pergamon-elsevier Science Ltd en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 3
dc.subject Differential equations with parameters en_US
dc.subject Banach-valued function spaces en_US
dc.subject Differential-operator equations en_US
dc.subject Semigroups of operators en_US
dc.subject Operator-valued Fourier multipliers en_US
dc.subject Interpolation of Banach spaces en_US
dc.title Uniform separable differential operators with parameters en_US
dc.type Article en_US
dc.wos.citedbyCount 4

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