The interior-boundary Strichartz estimate for the Schrödinger equation on the half-line revisited

Simple item page
buir.contributor.authorKöksal, Bilge
buir.contributor.authorÖzsarı, Türker
buir.contributor.orcidÖzsarı, Türker|0000-0003-4240-5252
dc.citation.epage3351en_US
dc.citation.issueNumber8en_US
dc.citation.spage3323en_US
dc.citation.volumeNumber46en_US
dc.contributor.authorKöksal, Bilge
dc.contributor.authorÖzsarı, Türker
dc.date.accessioned2023-02-27T15:25:11Z
dc.date.available2023-02-27T15:25:11Z
dc.date.issued2022-01-01
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractIn recent papers, it was shown for the biharmonic Schrödinger equation and 2D Schrödinger equation that Fokas method-based formulas are capable of defining weak solutions of associated nonlinear initial boundary value problems (ibvps) below the Banach algebra threshold. In view of these results, we revisit the theory of interiorboundary Strichartz estimates for the Schrödinger equation posed on the right half line, considering both Dirichlet and Neumann cases. Finally, we apply these estimates to obtain low regularity solutions for the nonlinear Schrödinger equation (NLS) with Neumann boundary condition and a coupled system of NLS equations defined on the half line with Dirichlet/Neumann boundary conditions. © This work is licensed under a Creative Commons Attribution 4.0 International License.en_US
dc.identifier.doi10.55730/1300-0098.3335en_US
dc.identifier.issn13000098
dc.identifier.urihttp://hdl.handle.net/11693/111841
dc.language.isoEnglishen_US
dc.publisherTÜBİTAKen_US
dc.relation.isversionofhttps://dx.doi.org/10.55730/1300-0098.3335en_US
dc.source.titleTurkish Journal of Mathematicsen_US
dc.subjectFokas methoden_US
dc.subjectSchrödinger equationen_US
dc.subjectStrichartz estimatesen_US
dc.subjectUnified transform methoden_US
dc.titleThe interior-boundary Strichartz estimate for the Schrödinger equation on the half-line revisiteden_US
dc.typeArticleen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
The_interior-boundary_Strichartz_estimate_for_the_Schrödinger_equation_on_the_half-line_revisited.pdf
Size:
529.22 KB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.69 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Department of Mathematics