A nonlocal nonlinear diffusion equation with blowing up boundary conditions
- Autores
- Bogoya, M.; Ferreira, R.; Rossi, J.D.
- Año de publicación
- 2008
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We deal with boundary value problems (prescribing Dirichlet or Neumann boundary conditions) for a nonlocal nonlinear diffusion operator which is analogous to the porous medium equation. First, we prove existence, uniqueness and the validity of a comparison principle for these problems. Next, we impose boundary data that blow up in finite time and study the behavior of the solutions. © 2007.
Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. - Fuente
- J. Math. Anal. Appl. 2008;337(2):1284-1294
- Materia
-
Neumann boundary conditions
Nonlocal diffusion - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by/2.5/ar
- Repositorio
- Institución
- Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
- OAI Identificador
- paperaa:paper_0022247X_v337_n2_p1284_Bogoya
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spelling |
A nonlocal nonlinear diffusion equation with blowing up boundary conditionsBogoya, M.Ferreira, R.Rossi, J.D.Neumann boundary conditionsNonlocal diffusionWe deal with boundary value problems (prescribing Dirichlet or Neumann boundary conditions) for a nonlocal nonlinear diffusion operator which is analogous to the porous medium equation. First, we prove existence, uniqueness and the validity of a comparison principle for these problems. Next, we impose boundary data that blow up in finite time and study the behavior of the solutions. © 2007.Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.2008info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://hdl.handle.net/20.500.12110/paper_0022247X_v337_n2_p1284_BogoyaJ. Math. Anal. Appl. 2008;337(2):1284-1294reponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCENenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar2025-09-29T13:42:54Zpaperaa:paper_0022247X_v337_n2_p1284_BogoyaInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962025-09-29 13:42:55.787Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse |
dc.title.none.fl_str_mv |
A nonlocal nonlinear diffusion equation with blowing up boundary conditions |
title |
A nonlocal nonlinear diffusion equation with blowing up boundary conditions |
spellingShingle |
A nonlocal nonlinear diffusion equation with blowing up boundary conditions Bogoya, M. Neumann boundary conditions Nonlocal diffusion |
title_short |
A nonlocal nonlinear diffusion equation with blowing up boundary conditions |
title_full |
A nonlocal nonlinear diffusion equation with blowing up boundary conditions |
title_fullStr |
A nonlocal nonlinear diffusion equation with blowing up boundary conditions |
title_full_unstemmed |
A nonlocal nonlinear diffusion equation with blowing up boundary conditions |
title_sort |
A nonlocal nonlinear diffusion equation with blowing up boundary conditions |
dc.creator.none.fl_str_mv |
Bogoya, M. Ferreira, R. Rossi, J.D. |
author |
Bogoya, M. |
author_facet |
Bogoya, M. Ferreira, R. Rossi, J.D. |
author_role |
author |
author2 |
Ferreira, R. Rossi, J.D. |
author2_role |
author author |
dc.subject.none.fl_str_mv |
Neumann boundary conditions Nonlocal diffusion |
topic |
Neumann boundary conditions Nonlocal diffusion |
dc.description.none.fl_txt_mv |
We deal with boundary value problems (prescribing Dirichlet or Neumann boundary conditions) for a nonlocal nonlinear diffusion operator which is analogous to the porous medium equation. First, we prove existence, uniqueness and the validity of a comparison principle for these problems. Next, we impose boundary data that blow up in finite time and study the behavior of the solutions. © 2007. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. |
description |
We deal with boundary value problems (prescribing Dirichlet or Neumann boundary conditions) for a nonlocal nonlinear diffusion operator which is analogous to the porous medium equation. First, we prove existence, uniqueness and the validity of a comparison principle for these problems. Next, we impose boundary data that blow up in finite time and study the behavior of the solutions. © 2007. |
publishDate |
2008 |
dc.date.none.fl_str_mv |
2008 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://hdl.handle.net/20.500.12110/paper_0022247X_v337_n2_p1284_Bogoya |
url |
http://hdl.handle.net/20.500.12110/paper_0022247X_v337_n2_p1284_Bogoya |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
http://creativecommons.org/licenses/by/2.5/ar |
dc.format.none.fl_str_mv |
application/pdf |
dc.source.none.fl_str_mv |
J. Math. Anal. Appl. 2008;337(2):1284-1294 reponame:Biblioteca Digital (UBA-FCEN) instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales instacron:UBA-FCEN |
reponame_str |
Biblioteca Digital (UBA-FCEN) |
collection |
Biblioteca Digital (UBA-FCEN) |
instname_str |
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales |
instacron_str |
UBA-FCEN |
institution |
UBA-FCEN |
repository.name.fl_str_mv |
Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales |
repository.mail.fl_str_mv |
ana@bl.fcen.uba.ar |
_version_ |
1844618734620114944 |
score |
13.070432 |