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Article: Dynamics for the energy critical nonlinear wave equation in high dimensions

TitleDynamics for the energy critical nonlinear wave equation in high dimensions
Authors
Li, DongZhang, Xiaoyi
KeywordsDynamical behavior
Energy-critical wave equation
Ground state
Issue Date2011
Citation
Transactions of the American Mathematical Society, 2011, v. 363, n. 3, p. 1137-1160 How to Cite?
DOI: http://dx.doi.org/10.1090/S0002-9947-2010-04999-2
AbstractT. 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 Identifierhttp://hdl.handle.net/10722/326854
ISSN
0002-9947
2021 Impact Factor: 1.351
2020 SCImago Journal Rankings: 1.798
ISI Accession Number ID
WOS:000290920700002

 

DC FieldValueLanguage
dc.contributor.authorLi, Dong-
dc.contributor.authorZhang, Xiaoyi-
dc.date.accessioned2023-03-31T05:27:00Z-
dc.date.available2023-03-31T05:27:00Z-
dc.date.issued2011-
dc.identifier.citationTransactions of the American Mathematical Society, 2011, v. 363, n. 3, p. 1137-1160-
dc.identifier.issn0002-9947-
dc.identifier.urihttp://hdl.handle.net/10722/326854-
dc.description.abstractT. 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.languageeng-
dc.relation.ispartofTransactions of the American Mathematical Society-
dc.subjectDynamical behavior-
dc.subjectEnergy-critical wave equation-
dc.subjectGround state-
dc.titleDynamics for the energy critical nonlinear wave equation in high dimensions-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1090/S0002-9947-2010-04999-2-
dc.identifier.scopuseid_2-s2.0-79951817662-
dc.identifier.volume363-
dc.identifier.issue3-
dc.identifier.spage1137-
dc.identifier.epage1160-
dc.identifier.isiWOS:000290920700002-

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