DC Field | Value | Language |
---|---|---|
dc.contributor.author | Hong, Younghun | ko |
dc.contributor.author | Kwon, Soonsik | ko |
dc.contributor.author | Yoon, Haewon | ko |
dc.date.accessioned | 2019-05-21T03:25:05Z | - |
dc.date.available | 2019-05-21T03:25:05Z | - |
dc.date.created | 2019-05-21 | - |
dc.date.created | 2019-05-21 | - |
dc.date.created | 2019-05-21 | - |
dc.date.issued | 2019-05 | - |
dc.identifier.citation | JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, v.125, pp.283 - 320 | - |
dc.identifier.issn | 0021-7824 | - |
dc.identifier.uri | http://hdl.handle.net/10203/262111 | - |
dc.description.abstract | We construct an extremizer for the Lieb-Thirring energy inequality (except the endpoint cases) developing the concentration-compactness technique for operator valued inequality in the formulation of the profile decomposition. Moreover, we investigate the properties of the extremizer, such as the system of Euler-Lagrange equations, regularity and summability. As an application, we study a dynamical consequence of a system of nonlinear Schrodinger equations with focusing cubic nonlinearities in three dimension when each wave function is restricted to be orthogonal. Using the critical element of the Lieb-Thirring inequality, we establish a global existence versus finite time blowup dichotomy. This result extends the single particle result of Holmer-Roudenko [35] to infinitely many particles system. (C) 2018 Elsevier Masson SAS. All rights reserved. | - |
dc.language | English | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.title | Global existence versus finite time blowup dichotomy for the system of nonlinear Schrodinger equations | - |
dc.type | Article | - |
dc.identifier.wosid | 000466257300009 | - |
dc.identifier.scopusid | 2-s2.0-85058005978 | - |
dc.type.rims | ART | - |
dc.citation.volume | 125 | - |
dc.citation.beginningpage | 283 | - |
dc.citation.endingpage | 320 | - |
dc.citation.publicationname | JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | - |
dc.identifier.doi | 10.1016/j.matpur.2018.12.003 | - |
dc.contributor.localauthor | Kwon, Soonsik | - |
dc.contributor.nonIdAuthor | Hong, Younghun | - |
dc.contributor.nonIdAuthor | Yoon, Haewon | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | NLS system | - |
dc.subject.keywordAuthor | Orthogonal functions | - |
dc.subject.keywordAuthor | Lieb-Thirring inequality | - |
dc.subject.keywordAuthor | Global existence | - |
dc.subject.keywordAuthor | Finite-time blowup | - |
dc.subject.keywordPlus | CONCENTRATION-COMPACTNESS PRINCIPLE | - |
dc.subject.keywordPlus | HARTREE-FOCK EQUATIONS | - |
dc.subject.keywordPlus | WELL-POSEDNESS | - |
dc.subject.keywordPlus | SCATTERING | - |
dc.subject.keywordPlus | ENERGY | - |
dc.subject.keywordPlus | INEQUALITIES | - |
dc.subject.keywordPlus | STABILITY | - |
dc.subject.keywordPlus | FERMIONS | - |
dc.subject.keywordPlus | COLLAPSE | - |
dc.subject.keywordPlus | CALCULUS | - |
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