Addendum to the article: On the Dirichlet to Neumann Problem for the 1-dimensional Cubic NLS Equation on the Half-Line

Hdl Handle:
http://hdl.handle.net/10034/617231
Title:
Addendum to the article: On the Dirichlet to Neumann Problem for the 1-dimensional Cubic NLS Equation on the Half-Line
Authors:
Antonopoulou, Dimitra; Kamvissis, Spyridon
Abstract:
We present a short note on the extension of the results of [1] to the case of non-zero initial data. More specifically, the defocusing cubic NLS equation is considered on the half-line with decaying (in time) Dirichlet data and sufficiently smooth and decaying (in space) initial data. We prove that for this case also, and for a large class of decaying Dirichlet data, the Neumann data are sufficiently decaying so that the Fokas unified method for the solution of defocusing NLS is applicable.
Citation:
Antonopoulou, D. & Kamvissis, S. (2016). Addendum to the article: On the Dirichlet to Neumann Problem for the 1-dimensional Cubic NLS Equation on the Half-Line. Nonlinearity 29(10), 3206-3214. http://dx.doi.org/10.1088/0951-7715/29/10/3206
Publisher:
IOPSCIENCE Published jointly with the London Mathematical Society
Journal:
Nonlinearity
Publication Date:
31-Aug-2016
URI:
http://hdl.handle.net/10034/617231
Type:
Article
Language:
en
Description:
This is an author-created, un-copyedited version of an article accepted for publication in Nonlinearity. The publisher is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1088/0951-7715/29/10/3206
ISSN:
0951-7715
EISSN:
1361-6544
Appears in Collections:
Mathematics

Full metadata record

DC FieldValue Language
dc.contributor.authorAntonopoulou, Dimitraen
dc.contributor.authorKamvissis, Spyridonen
dc.date.accessioned2016-07-20T10:32:30Z-
dc.date.available2016-07-20T10:32:30Z-
dc.date.issued2016-08-31-
dc.identifier.citationAntonopoulou, D. & Kamvissis, S. (2016). Addendum to the article: On the Dirichlet to Neumann Problem for the 1-dimensional Cubic NLS Equation on the Half-Line. Nonlinearity 29(10), 3206-3214. http://dx.doi.org/10.1088/0951-7715/29/10/3206en
dc.identifier.issn0951-7715-
dc.identifier.urihttp://hdl.handle.net/10034/617231-
dc.descriptionThis is an author-created, un-copyedited version of an article accepted for publication in Nonlinearity. The publisher is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1088/0951-7715/29/10/3206en
dc.description.abstractWe present a short note on the extension of the results of [1] to the case of non-zero initial data. More specifically, the defocusing cubic NLS equation is considered on the half-line with decaying (in time) Dirichlet data and sufficiently smooth and decaying (in space) initial data. We prove that for this case also, and for a large class of decaying Dirichlet data, the Neumann data are sufficiently decaying so that the Fokas unified method for the solution of defocusing NLS is applicable.en
dc.language.isoenen
dc.publisherIOPSCIENCE Published jointly with the London Mathematical Societyen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectNLS equationen
dc.titleAddendum to the article: On the Dirichlet to Neumann Problem for the 1-dimensional Cubic NLS Equation on the Half-Lineen
dc.typeArticleen
dc.identifier.eissn1361-6544-
dc.identifier.journalNonlinearityen
dc.date.accepted2016-07-19-
or.grant.openaccessYesen
rioxxterms.funderunfundeden
rioxxterms.identifier.projectunfundeden
rioxxterms.versionAMen
rioxxterms.licenseref.startdate2017-08-31-
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