Solution of the Dirichlet and Neumann problems for a modified Helmholtz equation in Besov spaces on an annulus

Simple item page
dc.authorscopusid25936697400
dc.contributor.authorShahmurov, Rishad
dc.date.accessioned2024-05-25T11:23:02Z
dc.date.available2024-05-25T11:23:02Z
dc.date.issued2010
dc.departmentOkan Universityen_US
dc.department-temp[Shahmurov, Rishad] Okan Univ, Dept Math, TR-34959 Istanbul, Turkey; [Shahmurov, Rishad] Univ Alabama, Dept Math, Tuscaloosa, AL 35487 USAen_US
dc.description.abstractHere we study Dirichlet and Neumann problems for a special Helmholtz equation on an annulus. Our main aim is to measure smoothness of solutions for the boundary datum in Besov spaces. We shall use operator theory to solve this problem. The most important advantage of this technique is that it enables to consider equations in vector-valued settings. It is interesting to note that optimal regularity of this problem will be a special case of our main result. (C) 2010 Elsevier Inc. All rights reserved.en_US
dc.identifier.citation30
dc.identifier.doi10.1016/j.jde.2010.03.029
dc.identifier.endpage550en_US
dc.identifier.issn0022-0396
dc.identifier.issn1090-2732
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-77952950770
dc.identifier.scopusqualityQ1
dc.identifier.startpage526en_US
dc.identifier.urihttps://doi.org/10.1016/j.jde.2010.03.029
dc.identifier.urihttps://hdl.handle.net/20.500.14517/664
dc.identifier.volume249en_US
dc.identifier.wosWOS:000278873500002
dc.identifier.wosqualityQ1
dc.language.isoen
dc.publisherAcademic Press inc Elsevier Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectModified Helmholtz equationen_US
dc.subjectDifferential-operator equationsen_US
dc.subjectBoundary value problemsen_US
dc.subjectInterpolation of Banach spacesen_US
dc.subjectSemigroup estimatesen_US
dc.subjectOperator-valued Fourier multipliersen_US
dc.titleSolution of the Dirichlet and Neumann problems for a modified Helmholtz equation in Besov spaces on an annulusen_US
dc.typeArticleen_US
dspace.entity.typePublication

Files

Collections

WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection