Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/10462
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dc.contributor.authorBatal, Ahmettr
dc.contributor.authorFokas, A. S.-
dc.contributor.authorÖzsarı, Türkertr
dc.date.accessioned2021-01-24T18:44:50Z-
dc.date.available2021-01-24T18:44:50Z-
dc.date.issued2020-
dc.identifier.issn1364-5021-
dc.identifier.issn1471-2946-
dc.identifier.urihttps://doi.org/10.1098/rspa.2020.0076-
dc.identifier.urihttps://hdl.handle.net/10462-
dc.description.abstractWe obtain solution representation formulae for some linear initial boundary value problems posed on the half space that involve mixed spatial derivative terms via the unified transform method (UTM), also known as the Fokas method. We first implement the method on the second-order parabolic PDEs; in this case one can alternatively eliminate the mixed derivatives by a linear change of variables. Then, we employ the method to biharmonic problems, where it is not possible to eliminate the cross term via a linear change of variables. A basic ingredient of the UTM is the use of certain invariant maps. It is shown here that these maps are well defined provided that certain analyticity issues are appropriately addressed.en_US
dc.description.sponsorshipTUBITAK 1001 grantTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [117F449]en_US
dc.language.isoenen_US
dc.publisherRoyal Society of Chemistryen_US
dc.relation.ispartofProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciencesen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFokas methoden_US
dc.subjectUnified transform methoden_US
dc.subjectMixed derivativesen_US
dc.subjectAnalyticity issuesen_US
dc.titleFokas method for linear boundary value problems involving mixed spatial derivativesen_US
dc.typeArticleen_US
dc.institutionauthorBatal, Ahmet-
dc.institutionauthorÖzsarı, Türker-
dc.departmentİzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume476en_US
dc.identifier.issue2239en_US
dc.identifier.wosWOS:000556904800002en_US
dc.identifier.scopus2-s2.0-85094631228en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıtr
dc.identifier.doi10.1098/rspa.2020.0076-
dc.identifier.pmid32831606en_US
dc.relation.doi10.1098/rspa.2020.0076en_US
dc.coverage.doi10.1098/rspa.2020.0076en_US
dc.identifier.wosqualityQ2-
dc.identifier.scopusqualityQ1-
item.languageiso639-1en-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextopen-
item.cerifentitytypePublications-
item.fulltextWith Fulltext-
item.openairetypeArticle-
crisitem.author.dept04.02. Department of Mathematics-
crisitem.author.dept04.02. Department of Mathematics-
Appears in Collections:Mathematics / Matematik
PubMed İndeksli Yayınlar Koleksiyonu / PubMed Indexed Publications Collection
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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