On the regularity of solutions to the k-generalized korteweg-de vries equation

This work is concerned with special regularity properties of solutions to the k-generalized Korteweg-de Vries equation. In [Comm. Partial Differential Equations 40 (2015), 1336–1364] it was established that if the initial datum is u0 ∈ Hl ((b, ∞)) for some l ∈ Z+ and b ∈ ℝ, then the corresponding so...

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Detalles Bibliográficos
Autores: Kenig, C. E., Linares, F., Ponce, G., Vega, L.
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2018
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/1448
Acceso en línea:http://hdl.handle.net/20.500.11824/1448
Access Level:acceso abierto
Palabra clave:Nonlinear dispersive equation
Propagation of regularity
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spelling On the regularity of solutions to the k-generalized korteweg-de vries equationKenig, C. E.Linares, F.Ponce, G.Vega, L.Nonlinear dispersive equationPropagation of regularityThis work is concerned with special regularity properties of solutions to the k-generalized Korteweg-de Vries equation. In [Comm. Partial Differential Equations 40 (2015), 1336–1364] it was established that if the initial datum is u0 ∈ Hl ((b, ∞)) for some l ∈ Z+ and b ∈ ℝ, then the corresponding solution u(·, t) belongs to Hl ((β, ∞)) for any β ∈ ℝ and any t ∈ (0, T). Our goal here is to extend this result to the case where l > 3/4.202220222018info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/1448reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Inglésinfo:eu-repo/grantAgreement/EC/H2020/669689Reconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/14482026-06-19T12:47:47Z
dc.title.none.fl_str_mv On the regularity of solutions to the k-generalized korteweg-de vries equation
title On the regularity of solutions to the k-generalized korteweg-de vries equation
spellingShingle On the regularity of solutions to the k-generalized korteweg-de vries equation
Kenig, C. E.
Nonlinear dispersive equation
Propagation of regularity
title_short On the regularity of solutions to the k-generalized korteweg-de vries equation
title_full On the regularity of solutions to the k-generalized korteweg-de vries equation
title_fullStr On the regularity of solutions to the k-generalized korteweg-de vries equation
title_full_unstemmed On the regularity of solutions to the k-generalized korteweg-de vries equation
title_sort On the regularity of solutions to the k-generalized korteweg-de vries equation
dc.creator.none.fl_str_mv Kenig, C. E.
Linares, F.
Ponce, G.
Vega, L.
author Kenig, C. E.
author_facet Kenig, C. E.
Linares, F.
Ponce, G.
Vega, L.
author_role author
author2 Linares, F.
Ponce, G.
Vega, L.
author2_role author
author
author
dc.subject.none.fl_str_mv Nonlinear dispersive equation
Propagation of regularity
topic Nonlinear dispersive equation
Propagation of regularity
description This work is concerned with special regularity properties of solutions to the k-generalized Korteweg-de Vries equation. In [Comm. Partial Differential Equations 40 (2015), 1336–1364] it was established that if the initial datum is u0 ∈ Hl ((b, ∞)) for some l ∈ Z+ and b ∈ ℝ, then the corresponding solution u(·, t) belongs to Hl ((β, ∞)) for any β ∈ ℝ and any t ∈ (0, T). Our goal here is to extend this result to the case where l > 3/4.
publishDate 2018
dc.date.none.fl_str_mv 2018
2022
2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/1448
url http://hdl.handle.net/20.500.11824/1448
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/EC/H2020/669689
dc.rights.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:BIRD. BCAM's Institutional Repository Data
instname:Basque Center for Applied Mathematics (BCAM)
instname_str Basque Center for Applied Mathematics (BCAM)
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