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dc.contributor.authorBatal, A.
dc.contributor.authorFokas, A. S.
dc.contributor.authorOzsari, T.
dc.date.accessioned2021-02-12T18:47:24Z
dc.date.available2021-02-12T18:47:24Z
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/11147/10168
dc.descriptionOzsari, Turker/0000-0003-4240-5252en_US
dc.descriptionPubMed: 32831606en_US
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.description.sponsorshipA.B. and T.O.'s research are funded by TUBITAK 1001 grant no. 117F449.en_US
dc.language.isoengen_US
dc.publisherROYAL SOCen_US
dc.relation.isversionof10.1098/rspa.2020.0076en_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_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.typearticleen_US
dc.relation.journalProceedings of The Royal Society A-Mathematical Physical And Engineering Sciencesen_US
dc.contributor.departmentIzmir Isntitute of Technologyen_US
dc.identifier.volume476en_US
dc.identifier.issue2239en_US
dc.identifier.wosWOS:000556904800002
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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