DC Field | Value | Language |
---|---|---|
dc.contributor.author | Byeon, J | - |
dc.contributor.author | Wang, ZQ | - |
dc.date.accessioned | 2016-04-01T09:17:17Z | - |
dc.date.available | 2016-04-01T09:17:17Z | - |
dc.date.created | 2009-08-10 | - |
dc.date.issued | 2002-12 | - |
dc.identifier.issn | 0003-9527 | - |
dc.identifier.other | 2003-OAK-0000010405 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/29802 | - |
dc.description.abstract | This paper is concerned with the existence and qualitative property of standing wave solutions psi(t, x) = e(-iEt/h)v(x) for the nonlinear Schrodinger equation (h) over bar +(h) over bar (2)/2 Deltapsi - V(x)psi + \psi\(p-1) psi = 0 with E being a critical frequency in the sense that min(RN) V(X) = E. We show that there exists a standing wave which is trapped in a neighbourhood of isolated minimum points of V and whose amplitude goes to 0 as (h) over bar --> 0. Moreover, depending upon the local behaviour of the potential function V (x) near the minimum points, the limiting profile of the standing-wave solutions will be shown to exhibit quite different characteristic features. This is in striking contrast with the non-critical frequency case (inf(RN) V (X) > E) which has been extensively studied in recent years. | - |
dc.description.statementofresponsibility | X | - |
dc.language | English | - |
dc.publisher | SPRINGER-VERLAG | - |
dc.relation.isPartOf | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | - |
dc.subject | CONCENTRATION-COMPACTNESS PRINCIPLE | - |
dc.subject | MULTI-BUMP SOLUTIONS | - |
dc.subject | POSITIVE SOLUTIONS | - |
dc.subject | BOUND-STATES | - |
dc.subject | SEMICLASSICAL STATES | - |
dc.subject | ELLIPTIC-EQUATIONS | - |
dc.subject | EXISTENCE | - |
dc.subject | CALCULUS | - |
dc.subject | DOMAINS | - |
dc.title | Standing waves with a critical frequency for nonlinear Schrodinger equations | - |
dc.type | Article | - |
dc.contributor.college | 수학과 | - |
dc.identifier.doi | 10.1007/S00205-002-0 | - |
dc.author.google | Byeon, J | - |
dc.author.google | Wang, ZQ | - |
dc.relation.volume | 165 | - |
dc.relation.issue | 4 | - |
dc.relation.startpage | 295 | - |
dc.relation.lastpage | 316 | - |
dc.contributor.id | 10057452 | - |
dc.relation.journal | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | - |
dc.relation.index | SCI급, SCOPUS 등재논문 | - |
dc.relation.sci | SCI | - |
dc.collections.name | Journal Papers | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, v.165, no.4, pp.295 - 316 | - |
dc.identifier.wosid | 000180027200002 | - |
dc.date.tcdate | 2019-02-01 | - |
dc.citation.endPage | 316 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 295 | - |
dc.citation.title | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | - |
dc.citation.volume | 165 | - |
dc.contributor.affiliatedAuthor | Byeon, J | - |
dc.identifier.scopusid | 2-s2.0-0036027321 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.wostc | 155 | - |
dc.type.docType | Article | - |
dc.subject.keywordPlus | CONCENTRATION-COMPACTNESS PRINCIPLE | - |
dc.subject.keywordPlus | MULTI-BUMP SOLUTIONS | - |
dc.subject.keywordPlus | BOUND-STATES | - |
dc.subject.keywordPlus | POSITIVE SOLUTIONS | - |
dc.subject.keywordPlus | SEMICLASSICAL STATES | - |
dc.subject.keywordPlus | ELLIPTIC-EQUATIONS | - |
dc.subject.keywordPlus | EXISTENCE | - |
dc.subject.keywordPlus | CALCULUS | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mechanics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalResearchArea | Mechanics | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
library@postech.ac.kr Tel: 054-279-2548
Copyrights © by 2017 Pohang University of Science ad Technology All right reserved.