DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chung, Jaywan | ko |
dc.contributor.author | Guo, Zihua | ko |
dc.contributor.author | Kwon, Soonsik | ko |
dc.contributor.author | Oh, Tadahiro | ko |
dc.date.accessioned | 2017-09-08T05:59:34Z | - |
dc.date.available | 2017-09-08T05:59:34Z | - |
dc.date.created | 2017-09-04 | - |
dc.date.created | 2017-09-04 | - |
dc.date.created | 2017-09-04 | - |
dc.date.issued | 2017-09 | - |
dc.identifier.citation | ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, v.34, no.5, pp.1273 - 1297 | - |
dc.identifier.issn | 0294-1449 | - |
dc.identifier.uri | http://hdl.handle.net/10203/225804 | - |
dc.description.abstract | We consider the quadratic derivative nonlinear Schrodinger equation (dNLS) on the circle. In particular, we develop an infinite iteration scheme of normal form reductions for dNLS. By combining this normal form procedure with the Cole-Hopf transformation, we prove unconditional global well-posedness in L-2(T), and more generally in certain Fourier-Lebesgue spaces FLs,p (T), under the mean-zero and smallness assumptions. As a byproduct, we construct an infinite sequence of quantities that are invariant under the dynamics. We also show the necessity of the smallness assumption by explicitly constructing a finite time blowup solution with non-small mean-zero initial data. (C) 2016 Elsevier Masson SAS. All rights reserved. | - |
dc.language | English | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.title | Normal form approach to global well-posedness of the quadratic derivative nonlinear Schrodinger equation on the circle | - |
dc.type | Article | - |
dc.identifier.wosid | 000407981700009 | - |
dc.identifier.scopusid | 2-s2.0-85006043692 | - |
dc.type.rims | ART | - |
dc.citation.volume | 34 | - |
dc.citation.issue | 5 | - |
dc.citation.beginningpage | 1273 | - |
dc.citation.endingpage | 1297 | - |
dc.citation.publicationname | ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | - |
dc.identifier.doi | 10.1016/j.anihpc.2016.10.003 | - |
dc.contributor.localauthor | Kwon, Soonsik | - |
dc.contributor.nonIdAuthor | Chung, Jaywan | - |
dc.contributor.nonIdAuthor | Guo, Zihua | - |
dc.contributor.nonIdAuthor | Oh, Tadahiro | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Quadratic derivative nonlinear Schrodinger equation | - |
dc.subject.keywordAuthor | Normal form | - |
dc.subject.keywordAuthor | Cole-Hopf transform | - |
dc.subject.keywordAuthor | Fourier-Lebesgue space | - |
dc.subject.keywordAuthor | Well-posedness | - |
dc.subject.keywordAuthor | Finite time blowup | - |
dc.subject.keywordPlus | BENJAMIN-ONO-EQUATION | - |
dc.subject.keywordPlus | CAUCHY-PROBLEM | - |
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