DC Field | Value | Language |
---|---|---|
dc.contributor.author | Killip, Rowan | ko |
dc.contributor.author | Kwon, Soonsik | ko |
dc.contributor.author | Shao, Shuanglin | ko |
dc.contributor.author | Visan, Monica | ko |
dc.date.accessioned | 2013-03-11T09:04:10Z | - |
dc.date.available | 2013-03-11T09:04:10Z | - |
dc.date.created | 2012-03-07 | - |
dc.date.created | 2012-03-07 | - |
dc.date.created | 2012-03-07 | - |
dc.date.issued | 2012-01 | - |
dc.identifier.citation | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v.32, no.1, pp.191 - 221 | - |
dc.identifier.issn | 1078-0947 | - |
dc.identifier.uri | http://hdl.handle.net/10203/98875 | - |
dc.description.abstract | We consider the mass-critical generalized Korteweg-de Vries equation (partial derivative(t) + partial derivative(xxx))u = +/-partial derivative(x)(u(5)) for real-valued functions u(t, x). We prove that if the global well-posedness and scattering conjecture for this equation failed, then, conditional on a positive answer to the global well-posedness and scattering conjecture for the mass-critical nonlinear Schrodinger equation (-i partial derivative(t) + partial derivative(xx))u =+/-(vertical bar u vertical bar(4)u), there exists a minimal-mass blowup solution to the mass-critical generalized KdV equation which is almost periodic modulo the symmetries of the equation. Moreover, we can guarantee that this minimal-mass blowup solution is either a self-similar solution, a soliton-like solution, or a double high-to-low frequency cascade solution. | - |
dc.language | English | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES | - |
dc.title | ON THE MASS-CRITICAL GENERALIZED KDV EQUATION | - |
dc.type | Article | - |
dc.identifier.wosid | 000296749200009 | - |
dc.identifier.scopusid | 2-s2.0-84859538465 | - |
dc.type.rims | ART | - |
dc.citation.volume | 32 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 191 | - |
dc.citation.endingpage | 221 | - |
dc.citation.publicationname | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | - |
dc.identifier.doi | 10.3934/dcds.2012.32.191 | - |
dc.contributor.localauthor | Kwon, Soonsik | - |
dc.contributor.nonIdAuthor | Killip, Rowan | - |
dc.contributor.nonIdAuthor | Shao, Shuanglin | - |
dc.contributor.nonIdAuthor | Visan, Monica | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Korteweg-de Vries equation | - |
dc.subject.keywordAuthor | L(2)-critical | - |
dc.subject.keywordPlus | NONLINEAR SCHRODINGER-EQUATION | - |
dc.subject.keywordPlus | GLOBAL WELL-POSEDNESS | - |
dc.subject.keywordPlus | RADIAL DATA | - |
dc.subject.keywordPlus | BLOW-UP | - |
dc.subject.keywordPlus | ROUGH SOLUTIONS | - |
dc.subject.keywordPlus | CAUCHY-PROBLEM | - |
dc.subject.keywordPlus | DIMENSIONS | - |
dc.subject.keywordPlus | SCATTERING | - |
dc.subject.keywordPlus | EXISTENCE | - |
dc.subject.keywordPlus | COMPACTNESS | - |
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