Dispersion estimates for the boundary integral operator associated with the fourth order Schrödinger equation posed on the half line

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buir.contributor.authorÖzsarı, Türker
buir.contributor.orcidÖzsarı, Türker|0000-0003-4240-5252
dc.citation.epage571en_US
dc.citation.issueNumber2en_US
dc.citation.spage551en_US
dc.citation.volumeNumber25en_US
dc.contributor.authorÖzsarı, Türker
dc.contributor.authorAlkan, Kıvılcım
dc.contributor.authorKalimeris, Konstantinos
dc.date.accessioned2023-02-28T10:51:25Z
dc.date.available2023-02-28T10:51:25Z
dc.date.issued2021-09
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractIn this paper, we prove dispersion estimates for the boundary integral operator associated with the fourth order Schr¨odinger equation posed on the half line. Proofs of such estimates for domains with boundaries are rare and generally require highly technical approaches, as opposed to our simple treatment which is based on constructing a boundary integral operator of oscillatory nature via the Fokas method. Our method is uniform and can be extended to other higher order partial differential equations where the main equation possibly involves more than one spatial derivatives.en_US
dc.identifier.doi10.7153/mia-2022-25-34en_US
dc.identifier.eissn1848-9966
dc.identifier.issn1331-4343
dc.identifier.urihttp://hdl.handle.net/11693/111912
dc.language.isoEnglishen_US
dc.publisherElement d.o.o.en_US
dc.relation.isversionofhttps://dx.doi.org/10.7153/mia-2022-25-34en_US
dc.source.titleMathematical Inequalities & Applicationsen_US
dc.subjectFourth order Schrödinger equationen_US
dc.subjectUnified transform methoden_US
dc.subjectFokas methoden_US
dc.subjectWellposednessen_US
dc.titleDispersion estimates for the boundary integral operator associated with the fourth order Schrödinger equation posed on the half lineen_US
dc.typeArticleen_US
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