Blow-up for a nonlocal nonlinear diffusion equation with source

We study the initial-value problem prescribing Neumann boundary conditions for a nonlocal nonlinear diffusion operator with source, in a bounded domain in $\mathbb{R}^N$ with a smooth boundary. We prove existence, uniqueness of solutions and we give a comparison principle for its solutions. The blow...

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Autores:
Bogoya, Mauricio
Tipo de recurso:
Article of journal
Fecha de publicación:
2012
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/42247
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/42247
http://bdigital.unal.edu.co/32344/
Palabra clave:
Nonlocal diffusion
Neumann boundary conditions
Blow-up
35K57
35B40
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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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_abf2Bogoya, Mauricio3b270000-972d-4e47-b934-773292df6b8e3002019-06-28T10:39:13Z2019-06-28T10:39:13Z2012https://repositorio.unal.edu.co/handle/unal/42247http://bdigital.unal.edu.co/32344/We study the initial-value problem prescribing Neumann boundary conditions for a nonlocal nonlinear diffusion operator with source, in a bounded domain in $\mathbb{R}^N$ with a smooth boundary. We prove existence, uniqueness of solutions and we give a comparison principle for its solutions. The blow-up phenomenon is analyzed. Finally, the blow up rate is given for some particular sources.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/31837Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 46, núm. 1 (2012); 1-13 0034-7426Bogoya, Mauricio (2012) Blow-up for a nonlocal nonlinear diffusion equation with source. Revista Colombiana de Matemáticas; Vol. 46, núm. 1 (2012); 1-13 0034-7426 .Blow-up for a nonlocal nonlinear diffusion equation with sourceArtículo 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/ARTNonlocal diffusionNeumann boundary conditionsBlow-up35K5735B40ORIGINAL31837-142396-1-PB.htmltext/html4635https://repositorio.unal.edu.co/bitstream/unal/42247/1/31837-142396-1-PB.htmlf42f7777f8344c12ef6bd175bbdb8106MD5131837-116340-1-PB.pdfapplication/pdf380759https://repositorio.unal.edu.co/bitstream/unal/42247/2/31837-116340-1-PB.pdf0d884eb10be59f6c9d31b751259b33acMD52THUMBNAIL31837-116340-1-PB.pdf.jpg31837-116340-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg4887https://repositorio.unal.edu.co/bitstream/unal/42247/3/31837-116340-1-PB.pdf.jpg0fbfa9e1098de5a12fa30a1129387e2eMD53unal/42247oai:repositorio.unal.edu.co:unal/422472024-02-04 23:06:21.718Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Blow-up for a nonlocal nonlinear diffusion equation with source
title Blow-up for a nonlocal nonlinear diffusion equation with source
spellingShingle Blow-up for a nonlocal nonlinear diffusion equation with source
Nonlocal diffusion
Neumann boundary conditions
Blow-up
35K57
35B40
title_short Blow-up for a nonlocal nonlinear diffusion equation with source
title_full Blow-up for a nonlocal nonlinear diffusion equation with source
title_fullStr Blow-up for a nonlocal nonlinear diffusion equation with source
title_full_unstemmed Blow-up for a nonlocal nonlinear diffusion equation with source
title_sort Blow-up for a nonlocal nonlinear diffusion equation with source
dc.creator.fl_str_mv Bogoya, Mauricio
dc.contributor.author.spa.fl_str_mv Bogoya, Mauricio
dc.subject.proposal.spa.fl_str_mv Nonlocal diffusion
Neumann boundary conditions
Blow-up
35K57
35B40
topic Nonlocal diffusion
Neumann boundary conditions
Blow-up
35K57
35B40
description We study the initial-value problem prescribing Neumann boundary conditions for a nonlocal nonlinear diffusion operator with source, in a bounded domain in $\mathbb{R}^N$ with a smooth boundary. We prove existence, uniqueness of solutions and we give a comparison principle for its solutions. The blow-up phenomenon is analyzed. Finally, the blow up rate is given for some particular sources.
publishDate 2012
dc.date.issued.spa.fl_str_mv 2012
dc.date.accessioned.spa.fl_str_mv 2019-06-28T10:39:13Z
dc.date.available.spa.fl_str_mv 2019-06-28T10:39:13Z
dc.type.spa.fl_str_mv Artículo de revista
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url https://repositorio.unal.edu.co/handle/unal/42247
http://bdigital.unal.edu.co/32344/
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/31837
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. 46, núm. 1 (2012); 1-13 0034-7426
dc.relation.references.spa.fl_str_mv Bogoya, Mauricio (2012) Blow-up for a nonlocal nonlinear diffusion equation with source. Revista Colombiana de Matemáticas; Vol. 46, núm. 1 (2012); 1-13 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
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dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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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
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dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
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