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Article: Characterization of minimal-mass blowup solutions to the focusing mass-critical NLS
Title | Characterization of minimal-mass blowup solutions to the focusing mass-critical NLS |
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Authors | |
Keywords | Blowup solutions Characterization Focusing NLS |
Issue Date | 2009 |
Citation | SIAM Journal on Mathematical Analysis, 2009, v. 41, n. 1, p. 219-236 How to Cite? |
Abstract | Let d ≤ 4and let u be a global solution to the focusing mass-critical nonlinear Schrödinger equation iut + δm = -|u|4/d-u with spherically symmetric H1/x. initial data and mass equal to that of the ground state Q.We prove that if u does not scatter, then, up to phase rotation and scaling, u is the solitary wave eitQ. Combining this result with that of Merle [Duke Math. J.,69 (1993), pp. 427-453], we obtain that in dimensions d ≤ 4, the only spherically symmetric minimal-mass nonscattering solutions are, up to phase rotation and scaling, the pseudoconformal ground state and the ground state solitary wave. © 2009 Society for Industrial and Applied Mathematics. |
Persistent Identifier | http://hdl.handle.net/10722/327493 |
ISSN | 2023 Impact Factor: 2.2 2023 SCImago Journal Rankings: 2.374 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Killip, Rowan | - |
dc.contributor.author | Li, Dong | - |
dc.contributor.author | Visan, Monica | - |
dc.contributor.author | Zhang, Xiaoyi | - |
dc.date.accessioned | 2023-03-31T05:31:45Z | - |
dc.date.available | 2023-03-31T05:31:45Z | - |
dc.date.issued | 2009 | - |
dc.identifier.citation | SIAM Journal on Mathematical Analysis, 2009, v. 41, n. 1, p. 219-236 | - |
dc.identifier.issn | 0036-1410 | - |
dc.identifier.uri | http://hdl.handle.net/10722/327493 | - |
dc.description.abstract | Let d ≤ 4and let u be a global solution to the focusing mass-critical nonlinear Schrödinger equation iut + δm = -|u|4/d-u with spherically symmetric H1/x. initial data and mass equal to that of the ground state Q.We prove that if u does not scatter, then, up to phase rotation and scaling, u is the solitary wave eitQ. Combining this result with that of Merle [Duke Math. J.,69 (1993), pp. 427-453], we obtain that in dimensions d ≤ 4, the only spherically symmetric minimal-mass nonscattering solutions are, up to phase rotation and scaling, the pseudoconformal ground state and the ground state solitary wave. © 2009 Society for Industrial and Applied Mathematics. | - |
dc.language | eng | - |
dc.relation.ispartof | SIAM Journal on Mathematical Analysis | - |
dc.subject | Blowup solutions | - |
dc.subject | Characterization | - |
dc.subject | Focusing NLS | - |
dc.title | Characterization of minimal-mass blowup solutions to the focusing mass-critical NLS | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1137/080720358 | - |
dc.identifier.scopus | eid_2-s2.0-70450169280 | - |
dc.identifier.volume | 41 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 219 | - |
dc.identifier.epage | 236 | - |
dc.identifier.isi | WOS:000266019600009 | - |