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 |