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- Publisher Website: 10.1090/S0002-9947-2010-04999-2
- Scopus: eid_2-s2.0-79951817662
- WOS: WOS:000290920700002
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Article: Dynamics for the energy critical nonlinear wave equation in high dimensions
Title | Dynamics for the energy critical nonlinear wave equation in high dimensions |
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Authors | |
Keywords | Dynamical behavior Energy-critical wave equation Ground state |
Issue Date | 2011 |
Citation | Transactions of the American Mathematical Society, 2011, v. 363, n. 3, p. 1137-1160 How to Cite? |
Abstract | T. Duyckaerts and F. Merle (2008) studied the variational structure near the ground state solution W of the energy critical wave equation and classified the solutions with the threshold energy E(W, 0) in dimensions d = 3, 4, 5. In this paper, we extend the results to all dimensions d ≥ 6. The main issue in high dimensions is the non-Lipschitz continuity of the nonlinearity which we get around by making full use of the decay property of W. © 2010 American Mathematical Society. |
Persistent Identifier | http://hdl.handle.net/10722/326854 |
ISSN | 2023 Impact Factor: 1.2 2023 SCImago Journal Rankings: 1.581 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Li, Dong | - |
dc.contributor.author | Zhang, Xiaoyi | - |
dc.date.accessioned | 2023-03-31T05:27:00Z | - |
dc.date.available | 2023-03-31T05:27:00Z | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | Transactions of the American Mathematical Society, 2011, v. 363, n. 3, p. 1137-1160 | - |
dc.identifier.issn | 0002-9947 | - |
dc.identifier.uri | http://hdl.handle.net/10722/326854 | - |
dc.description.abstract | T. Duyckaerts and F. Merle (2008) studied the variational structure near the ground state solution W of the energy critical wave equation and classified the solutions with the threshold energy E(W, 0) in dimensions d = 3, 4, 5. In this paper, we extend the results to all dimensions d ≥ 6. The main issue in high dimensions is the non-Lipschitz continuity of the nonlinearity which we get around by making full use of the decay property of W. © 2010 American Mathematical Society. | - |
dc.language | eng | - |
dc.relation.ispartof | Transactions of the American Mathematical Society | - |
dc.subject | Dynamical behavior | - |
dc.subject | Energy-critical wave equation | - |
dc.subject | Ground state | - |
dc.title | Dynamics for the energy critical nonlinear wave equation in high dimensions | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1090/S0002-9947-2010-04999-2 | - |
dc.identifier.scopus | eid_2-s2.0-79951817662 | - |
dc.identifier.volume | 363 | - |
dc.identifier.issue | 3 | - |
dc.identifier.spage | 1137 | - |
dc.identifier.epage | 1160 | - |
dc.identifier.isi | WOS:000290920700002 | - |