A sharp bilinear estimate for the Klein-Gordon equation in R1+1

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in International Mathematics Research Notices following peer review. The definitive publisher-authenticated version International Mathematics Research Notices, Vol. 2014, No. 5, pp. 1367–1378 is available online a...

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Detalhes bibliográficos
Autores: Ozawa, Tohru, Rogers, Keith M.
Tipo de documento: artigo
Estado:Versión aceptada para publicación
Data de publicação:2014
País:España
Recursos:Consejo Superior de Investigaciones Científicas (CSIC)
Repositório:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/94116
Acesso em linha:http://hdl.handle.net/10261/94116
Access Level:Acceso aberto
Palavra-chave:Klein-Gordon
Bilinear
Sharp
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spelling A sharp bilinear estimate for the Klein-Gordon equation in R1+1Ozawa, TohruRogers, Keith M.Klein-GordonBilinearSharpThis is a pre-copy-editing, author-produced PDF of an article accepted for publication in International Mathematics Research Notices following peer review. The definitive publisher-authenticated version International Mathematics Research Notices, Vol. 2014, No. 5, pp. 1367–1378 is available online at: http://imrn.oxfordjournals.org/content/early/2012/11/23/imrn.rns254.full.pdfWe prove a sharp bilinear estimate for the one-dimensional Klein–Gordon equation. The proof involves an unlikely combination of five trigonometric identities. We also prove new estimates for the restriction of the Fourier transform to the hyperbola, where the pullback measure is not assumed to be compactly supported.This work was supported by the JSPS grant 11133 (Japan), the ERC grant 277778 (Europe) and the MINECO grants MTM2010-16518 and SEV-2011-0087 (Spain).Peer reviewedOxford University Press201420142014info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Postprintinfo:eu-repo/semantics/acceptedVersionhttp://hdl.handle.net/10261/94116reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Ingléshttp://dx.doi.org/10.1093/imrn/rns254info:eu-repo/semantics/openAccessoai:digital.csic.es:10261/941162026-05-22T06:33:51Z
dc.title.none.fl_str_mv A sharp bilinear estimate for the Klein-Gordon equation in R1+1
title A sharp bilinear estimate for the Klein-Gordon equation in R1+1
spellingShingle A sharp bilinear estimate for the Klein-Gordon equation in R1+1
Ozawa, Tohru
Klein-Gordon
Bilinear
Sharp
title_short A sharp bilinear estimate for the Klein-Gordon equation in R1+1
title_full A sharp bilinear estimate for the Klein-Gordon equation in R1+1
title_fullStr A sharp bilinear estimate for the Klein-Gordon equation in R1+1
title_full_unstemmed A sharp bilinear estimate for the Klein-Gordon equation in R1+1
title_sort A sharp bilinear estimate for the Klein-Gordon equation in R1+1
dc.creator.none.fl_str_mv Ozawa, Tohru
Rogers, Keith M.
author Ozawa, Tohru
author_facet Ozawa, Tohru
Rogers, Keith M.
author_role author
author2 Rogers, Keith M.
author2_role author
dc.subject.none.fl_str_mv Klein-Gordon
Bilinear
Sharp
topic Klein-Gordon
Bilinear
Sharp
description This is a pre-copy-editing, author-produced PDF of an article accepted for publication in International Mathematics Research Notices following peer review. The definitive publisher-authenticated version International Mathematics Research Notices, Vol. 2014, No. 5, pp. 1367–1378 is available online at: http://imrn.oxfordjournals.org/content/early/2012/11/23/imrn.rns254.full.pdf
publishDate 2014
dc.date.none.fl_str_mv 2014
2014
2014
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Postprint
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dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/94116
url http://hdl.handle.net/10261/94116
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv http://dx.doi.org/10.1093/imrn/rns254
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Oxford University Press
publisher.none.fl_str_mv Oxford University Press
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
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