Regularizing effects for the linearized kadomtsev-petviashvili (kp) equation

In this article we obtain estimates of Strichartz type, of maximal type, and of local type for the linearized KPI and KPII equations. These estimates show the gain of regularity of the solutions of these equations and are obtained by a detailed analysis of the oscillatory integrals which give the so...

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Autores:
Isaza, Pedro
Mejía, Jorge
Stallbohm, Volker
Tipo de recurso:
Article of journal
Fecha de publicación:
1997
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43657
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43657
http://bdigital.unal.edu.co/33755/
Palabra clave:
Kadomtsev-Petviashvili equation
smoothing effects
dispersive equations
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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repository_id_str
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Isaza, Pedro4fd619ec-0ae1-4d7f-97fc-9b0b2dc2f885300Mejía, Jorge2461be55-4df5-41b9-b9e8-930dfcf4e8fc300Stallbohm, Volkerc9d69c54-b213-48f3-a566-4a30ddd860053002019-06-28T12:16:06Z2019-06-28T12:16:06Z1997https://repositorio.unal.edu.co/handle/unal/43657http://bdigital.unal.edu.co/33755/In this article we obtain estimates of Strichartz type, of maximal type, and of local type for the linearized KPI and KPII equations. These estimates show the gain of regularity of the solutions of these equations and are obtained by a detailed analysis of the oscillatory integrals which give the solutions explicitly.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33655Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 31, núm. 1 (1997); 37-61 0034-7426Isaza, Pedro and Mejía, Jorge and Stallbohm, Volker (1997) Regularizing effects for the linearized kadomtsev-petviashvili (kp) equation. Revista Colombiana de Matemáticas; Vol. 31, núm. 1 (1997); 37-61 0034-7426 .Regularizing effects for the linearized kadomtsev-petviashvili (kp) equationArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTKadomtsev-Petviashvili equationsmoothing effectsdispersive equationsORIGINAL33655-125178-1-PB.pdfapplication/pdf5759225https://repositorio.unal.edu.co/bitstream/unal/43657/1/33655-125178-1-PB.pdf96e83056c6f0abb796d101c2731fdc39MD51THUMBNAIL33655-125178-1-PB.pdf.jpg33655-125178-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg7380https://repositorio.unal.edu.co/bitstream/unal/43657/2/33655-125178-1-PB.pdf.jpg41d530acadaa4290de61c5b34ec2f9e2MD52unal/43657oai:repositorio.unal.edu.co:unal/436572024-02-11 23:18:46.376Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Regularizing effects for the linearized kadomtsev-petviashvili (kp) equation
title Regularizing effects for the linearized kadomtsev-petviashvili (kp) equation
spellingShingle Regularizing effects for the linearized kadomtsev-petviashvili (kp) equation
Kadomtsev-Petviashvili equation
smoothing effects
dispersive equations
title_short Regularizing effects for the linearized kadomtsev-petviashvili (kp) equation
title_full Regularizing effects for the linearized kadomtsev-petviashvili (kp) equation
title_fullStr Regularizing effects for the linearized kadomtsev-petviashvili (kp) equation
title_full_unstemmed Regularizing effects for the linearized kadomtsev-petviashvili (kp) equation
title_sort Regularizing effects for the linearized kadomtsev-petviashvili (kp) equation
dc.creator.fl_str_mv Isaza, Pedro
Mejía, Jorge
Stallbohm, Volker
dc.contributor.author.spa.fl_str_mv Isaza, Pedro
Mejía, Jorge
Stallbohm, Volker
dc.subject.proposal.spa.fl_str_mv Kadomtsev-Petviashvili equation
smoothing effects
dispersive equations
topic Kadomtsev-Petviashvili equation
smoothing effects
dispersive equations
description In this article we obtain estimates of Strichartz type, of maximal type, and of local type for the linearized KPI and KPII equations. These estimates show the gain of regularity of the solutions of these equations and are obtained by a detailed analysis of the oscillatory integrals which give the solutions explicitly.
publishDate 1997
dc.date.issued.spa.fl_str_mv 1997
dc.date.accessioned.spa.fl_str_mv 2019-06-28T12:16:06Z
dc.date.available.spa.fl_str_mv 2019-06-28T12:16:06Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.type.content.spa.fl_str_mv Text
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url https://repositorio.unal.edu.co/handle/unal/43657
http://bdigital.unal.edu.co/33755/
dc.language.iso.spa.fl_str_mv spa
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dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/33655
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 31, núm. 1 (1997); 37-61 0034-7426
dc.relation.references.spa.fl_str_mv Isaza, Pedro and Mejía, Jorge and Stallbohm, Volker (1997) Regularizing effects for the linearized kadomtsev-petviashvili (kp) equation. Revista Colombiana de Matemáticas; Vol. 31, núm. 1 (1997); 37-61 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/43657/1/33655-125178-1-PB.pdf
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