Existence and symmetries of solutions in Besov-Morrey spaces for a semilinear heat-wave type equation

Detalhes bibliográficos
Autor(a) principal: Almeida, Marcelo F. de
Data de Publicação: 2015
Outros Autores: Precioso, Juliana C. P. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.jmaa.2015.06.044
http://hdl.handle.net/11449/160692
Resumo: This paper considers a semilinear integro-differential equation of Volterra type which interpolates semilinear heat and wave equations. Global existence of solutions is showed in spaces of Besov type based in Morrey spaces, namely Besov-Morrey spaces. Our initial data is larger than the previous works and our results provide a maximal existence class for semilinear interpolated heat-wave equation. Some symmetries, self-similarity and asymptotic behavior of solutions are also investigated in the framework of Besov Morrey spaces. (C) 2015 Elsevier Inc. All rights reserved.
id UNSP_4c971d9faf094bad15903f48b551ecca
oai_identifier_str oai:repositorio.unesp.br:11449/160692
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling Existence and symmetries of solutions in Besov-Morrey spaces for a semilinear heat-wave type equationFractional partial differential equationRiemann-Liouville derivativeSymmetriesSelf-similarityBesov-Morrey spacesThis paper considers a semilinear integro-differential equation of Volterra type which interpolates semilinear heat and wave equations. Global existence of solutions is showed in spaces of Besov type based in Morrey spaces, namely Besov-Morrey spaces. Our initial data is larger than the previous works and our results provide a maximal existence class for semilinear interpolated heat-wave equation. Some symmetries, self-similarity and asymptotic behavior of solutions are also investigated in the framework of Besov Morrey spaces. (C) 2015 Elsevier Inc. All rights reserved.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Univ Fed Sergipe, Dept Matemat, BR-49100000 Sao Cristovao, SE, BrazilUniv Estadual Paulista, Dept Matemat, BR-15054000 Sao Paulo, SP, BrazilUniv Estadual Paulista, Dept Matemat, BR-15054000 Sao Paulo, SP, BrazilCNPq: 482428/12-0CNPq: 460800/14-0Elsevier B.V.Universidade Federal de Sergipe (UFS)Universidade Estadual Paulista (Unesp)Almeida, Marcelo F. dePrecioso, Juliana C. P. [UNESP]2018-11-26T16:16:20Z2018-11-26T16:16:20Z2015-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article338-355application/pdfhttp://dx.doi.org/10.1016/j.jmaa.2015.06.044Journal Of Mathematical Analysis And Applications. San Diego: Academic Press Inc Elsevier Science, v. 432, n. 1, p. 338-355, 2015.0022-247Xhttp://hdl.handle.net/11449/16069210.1016/j.jmaa.2015.06.044WOS:000359030800022WOS000359030800022.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal Of Mathematical Analysis And Applicationsinfo:eu-repo/semantics/openAccess2023-10-14T06:06:48Zoai:repositorio.unesp.br:11449/160692Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:53:29.508304Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Existence and symmetries of solutions in Besov-Morrey spaces for a semilinear heat-wave type equation
title Existence and symmetries of solutions in Besov-Morrey spaces for a semilinear heat-wave type equation
spellingShingle Existence and symmetries of solutions in Besov-Morrey spaces for a semilinear heat-wave type equation
Almeida, Marcelo F. de
Fractional partial differential equation
Riemann-Liouville derivative
Symmetries
Self-similarity
Besov-Morrey spaces
title_short Existence and symmetries of solutions in Besov-Morrey spaces for a semilinear heat-wave type equation
title_full Existence and symmetries of solutions in Besov-Morrey spaces for a semilinear heat-wave type equation
title_fullStr Existence and symmetries of solutions in Besov-Morrey spaces for a semilinear heat-wave type equation
title_full_unstemmed Existence and symmetries of solutions in Besov-Morrey spaces for a semilinear heat-wave type equation
title_sort Existence and symmetries of solutions in Besov-Morrey spaces for a semilinear heat-wave type equation
author Almeida, Marcelo F. de
author_facet Almeida, Marcelo F. de
Precioso, Juliana C. P. [UNESP]
author_role author
author2 Precioso, Juliana C. P. [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Federal de Sergipe (UFS)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Almeida, Marcelo F. de
Precioso, Juliana C. P. [UNESP]
dc.subject.por.fl_str_mv Fractional partial differential equation
Riemann-Liouville derivative
Symmetries
Self-similarity
Besov-Morrey spaces
topic Fractional partial differential equation
Riemann-Liouville derivative
Symmetries
Self-similarity
Besov-Morrey spaces
description This paper considers a semilinear integro-differential equation of Volterra type which interpolates semilinear heat and wave equations. Global existence of solutions is showed in spaces of Besov type based in Morrey spaces, namely Besov-Morrey spaces. Our initial data is larger than the previous works and our results provide a maximal existence class for semilinear interpolated heat-wave equation. Some symmetries, self-similarity and asymptotic behavior of solutions are also investigated in the framework of Besov Morrey spaces. (C) 2015 Elsevier Inc. All rights reserved.
publishDate 2015
dc.date.none.fl_str_mv 2015-12-01
2018-11-26T16:16:20Z
2018-11-26T16:16:20Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1016/j.jmaa.2015.06.044
Journal Of Mathematical Analysis And Applications. San Diego: Academic Press Inc Elsevier Science, v. 432, n. 1, p. 338-355, 2015.
0022-247X
http://hdl.handle.net/11449/160692
10.1016/j.jmaa.2015.06.044
WOS:000359030800022
WOS000359030800022.pdf
url http://dx.doi.org/10.1016/j.jmaa.2015.06.044
http://hdl.handle.net/11449/160692
identifier_str_mv Journal Of Mathematical Analysis And Applications. San Diego: Academic Press Inc Elsevier Science, v. 432, n. 1, p. 338-355, 2015.
0022-247X
10.1016/j.jmaa.2015.06.044
WOS:000359030800022
WOS000359030800022.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal Of Mathematical Analysis And Applications
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 338-355
application/pdf
dc.publisher.none.fl_str_mv Elsevier B.V.
publisher.none.fl_str_mv Elsevier B.V.
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808128431331737600

Registros relacionados