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Article: Global well-posedness and scattering for defocusing energy-critical nls in the exterior of balls with radial data
Title | Global well-posedness and scattering for defocusing energy-critical nls in the exterior of balls with radial data |
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Authors | |
Issue Date | 2012 |
Citation | Mathematical Research Letters, 2012, v. 19, n. 1, p. 213-232 How to Cite? |
Abstract | We consider the defocusing energy-critical nonlinear Schrödinger (NLS) in the exterior of the unit ball in three dimensions. For the initial value problem with Dirichlet boundary condition, we prove global well-posedness and scattering with large radial initial data in the Sobolev space H 10. We also point out that the same strategy can be used to treat the energy-supercritical NLS in the exterior of balls with Dirichlet boundary condition and radial H10 initial data. © International Press 2012. |
Persistent Identifier | http://hdl.handle.net/10722/326887 |
ISSN | 2023 Impact Factor: 0.6 2023 SCImago Journal Rankings: 1.128 |
DC Field | Value | Language |
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dc.contributor.author | Li, Dong | - |
dc.contributor.author | Smith, Hart | - |
dc.contributor.author | Zhang, Xiaoyi | - |
dc.date.accessioned | 2023-03-31T05:27:14Z | - |
dc.date.available | 2023-03-31T05:27:14Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | Mathematical Research Letters, 2012, v. 19, n. 1, p. 213-232 | - |
dc.identifier.issn | 1073-2780 | - |
dc.identifier.uri | http://hdl.handle.net/10722/326887 | - |
dc.description.abstract | We consider the defocusing energy-critical nonlinear Schrödinger (NLS) in the exterior of the unit ball in three dimensions. For the initial value problem with Dirichlet boundary condition, we prove global well-posedness and scattering with large radial initial data in the Sobolev space H 10. We also point out that the same strategy can be used to treat the energy-supercritical NLS in the exterior of balls with Dirichlet boundary condition and radial H10 initial data. © International Press 2012. | - |
dc.language | eng | - |
dc.relation.ispartof | Mathematical Research Letters | - |
dc.title | Global well-posedness and scattering for defocusing energy-critical nls in the exterior of balls with radial data | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.4310/MRL.2012.v19.n1.a17 | - |
dc.identifier.scopus | eid_2-s2.0-84861069929 | - |
dc.identifier.volume | 19 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 213 | - |
dc.identifier.epage | 232 | - |
dc.identifier.eissn | 1945-001X | - |