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

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dc.authorscopusid 25936697400
dc.contributor.author Shahmurov, Rishad
dc.date.accessioned 2024-05-25T11:23:02Z
dc.date.available 2024-05-25T11:23:02Z
dc.date.issued 2010
dc.department Okan University en_US
dc.department-temp [Shahmurov, Rishad] Okan Univ, Dept Math, TR-34959 Istanbul, Turkey; [Shahmurov, Rishad] Univ Alabama, Dept Math, Tuscaloosa, AL 35487 USA en_US
dc.description.abstract Here 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.citationcount 30
dc.identifier.doi 10.1016/j.jde.2010.03.029
dc.identifier.endpage 550 en_US
dc.identifier.issn 0022-0396
dc.identifier.issn 1090-2732
dc.identifier.issue 3 en_US
dc.identifier.scopus 2-s2.0-77952950770
dc.identifier.scopusquality Q1
dc.identifier.startpage 526 en_US
dc.identifier.uri https://doi.org/10.1016/j.jde.2010.03.029
dc.identifier.uri https://hdl.handle.net/20.500.14517/664
dc.identifier.volume 249 en_US
dc.identifier.wos WOS:000278873500002
dc.identifier.wosquality Q1
dc.language.iso en
dc.publisher Academic Press inc Elsevier Science 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 30
dc.subject Modified Helmholtz equation en_US
dc.subject Differential-operator equations en_US
dc.subject Boundary value problems en_US
dc.subject Interpolation of Banach spaces en_US
dc.subject Semigroup estimates en_US
dc.subject Operator-valued Fourier multipliers en_US
dc.title Solution of the Dirichlet and Neumann problems for a modified Helmholtz equation in Besov spaces on an annulus en_US
dc.type Article en_US
dc.wos.citedbyCount 30

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