Parabolic type equations on p−adic balls

In this article we solve the Cauchy problem associated to a radial symbol constant on a ball of radius pr and we show that the fundamental solution, Zr(x, t), vanishes outside the ball of radius p−r.

Autores:
Casas-Sánchez, Oscar
Rodríguez-Vega, Jhon Jaime
Tipo de recurso:
Article of journal
Fecha de publicación:
2015
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/61898
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/61898
http://bdigital.unal.edu.co/60710/
Palabra clave:
51 Matemáticas / Mathematics
p−adic numbers
pseudodifferential equations
Cauchy problem
Números p−ádicos
ecuaciones pseudodiferenciales
problema de Cauchy.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_b695e5542dc1398233e515a13d078700
oai_identifier_str oai:repositorio.unal.edu.co:unal/61898
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
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_abf2Casas-Sánchez, Oscare092beff-6d53-48ac-beac-f501b1f29b67300Rodríguez-Vega, Jhon Jaime164cc744-1ebc-48ff-a643-a72c45bc39c33002019-07-02T20:47:07Z2019-07-02T20:47:07Z2015-01-01ISSN: 2357-6529https://repositorio.unal.edu.co/handle/unal/61898http://bdigital.unal.edu.co/60710/In this article we solve the Cauchy problem associated to a radial symbol constant on a ball of radius pr and we show that the fundamental solution, Zr(x, t), vanishes outside the ball of radius p−r.En este artículo encontramos la solución al problema de Cauchy asociado a un símbolo radial que es constante en bolas de radio pr, y mostramos que la solución fundamental Zr(x, t) se anula fuera de una bola de radio p−r.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticashttps://revistas.unal.edu.co/index.php/bolma/article/view/51848Universidad Nacional de Colombia Revistas electrónicas UN Boletín de MatemáticasBoletín de MatemáticasCasas-Sánchez, Oscar and Rodríguez-Vega, Jhon Jaime (2015) Parabolic type equations on p−adic balls. Boletín de Matemáticas, 22 (1). pp. 97-106. ISSN 2357-652951 Matemáticas / Mathematicsp−adic numberspseudodifferential equationsCauchy problemNúmeros p−ádicosecuaciones pseudodiferencialesproblema de Cauchy.Parabolic type equations on p−adic ballsArtículo 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/ARTORIGINAL51848-252722-1-SM.pdfapplication/pdf373498https://repositorio.unal.edu.co/bitstream/unal/61898/1/51848-252722-1-SM.pdf9348825b2b7cff34da2d16eff05ef38bMD51THUMBNAIL51848-252722-1-SM.pdf.jpg51848-252722-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg5730https://repositorio.unal.edu.co/bitstream/unal/61898/2/51848-252722-1-SM.pdf.jpg1a3a296e7f24c3cce56e22fb6a391cf9MD52unal/61898oai:repositorio.unal.edu.co:unal/618982024-04-20 23:26:19.93Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Parabolic type equations on p−adic balls
title Parabolic type equations on p−adic balls
spellingShingle Parabolic type equations on p−adic balls
51 Matemáticas / Mathematics
p−adic numbers
pseudodifferential equations
Cauchy problem
Números p−ádicos
ecuaciones pseudodiferenciales
problema de Cauchy.
title_short Parabolic type equations on p−adic balls
title_full Parabolic type equations on p−adic balls
title_fullStr Parabolic type equations on p−adic balls
title_full_unstemmed Parabolic type equations on p−adic balls
title_sort Parabolic type equations on p−adic balls
dc.creator.fl_str_mv Casas-Sánchez, Oscar
Rodríguez-Vega, Jhon Jaime
dc.contributor.author.spa.fl_str_mv Casas-Sánchez, Oscar
Rodríguez-Vega, Jhon Jaime
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
topic 51 Matemáticas / Mathematics
p−adic numbers
pseudodifferential equations
Cauchy problem
Números p−ádicos
ecuaciones pseudodiferenciales
problema de Cauchy.
dc.subject.proposal.spa.fl_str_mv p−adic numbers
pseudodifferential equations
Cauchy problem
Números p−ádicos
ecuaciones pseudodiferenciales
problema de Cauchy.
description In this article we solve the Cauchy problem associated to a radial symbol constant on a ball of radius pr and we show that the fundamental solution, Zr(x, t), vanishes outside the ball of radius p−r.
publishDate 2015
dc.date.issued.spa.fl_str_mv 2015-01-01
dc.date.accessioned.spa.fl_str_mv 2019-07-02T20:47:07Z
dc.date.available.spa.fl_str_mv 2019-07-02T20:47:07Z
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/article
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_6501
dc.type.coarversion.spa.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.content.spa.fl_str_mv Text
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/ART
format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.issn.spa.fl_str_mv ISSN: 2357-6529
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/61898
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/60710/
identifier_str_mv ISSN: 2357-6529
url https://repositorio.unal.edu.co/handle/unal/61898
http://bdigital.unal.edu.co/60710/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv https://revistas.unal.edu.co/index.php/bolma/article/view/51848
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Boletín de Matemáticas
Boletín de Matemáticas
dc.relation.references.spa.fl_str_mv Casas-Sánchez, Oscar and Rodríguez-Vega, Jhon Jaime (2015) Parabolic type equations on p−adic balls. Boletín de Matemáticas, 22 (1). pp. 97-106. ISSN 2357-6529
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
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
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 Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/61898/1/51848-252722-1-SM.pdf
https://repositorio.unal.edu.co/bitstream/unal/61898/2/51848-252722-1-SM.pdf.jpg
bitstream.checksum.fl_str_mv 9348825b2b7cff34da2d16eff05ef38b
1a3a296e7f24c3cce56e22fb6a391cf9
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
repository.mail.fl_str_mv repositorio_nal@unal.edu.co
_version_ 1814089745681088512