A nonlocal nonlinear diffusion equation with blowing up boundary conditions

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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 impo...

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Detalles Bibliográficos
Autores principales: Bogoya, M., Ferreira, R., Rossi, J.D.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2008
Materias:
Neumann boundary conditions
Nonlocal diffusion
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0022247X_v337_n2_p1284_Bogoya
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paperaa:paper_0022247X_v337_n2_p1284_Bogoya2023-06-12T16:44:08Z A nonlocal nonlinear diffusion equation with blowing up boundary conditions J. Math. Anal. Appl. 2008;337(2):1284-1294 Bogoya, M. Ferreira, R. Rossi, J.D. Neumann boundary conditions Nonlocal diffusion 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. 2008 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0022247X_v337_n2_p1284_Bogoya
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
topic Neumann boundary conditions
Nonlocal diffusion
spellingShingle Neumann boundary conditions
Nonlocal diffusion
Bogoya, M.
Ferreira, R.
Rossi, J.D.
A nonlocal nonlinear diffusion equation with blowing up boundary conditions
topic_facet Neumann boundary conditions
Nonlocal diffusion
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.
format Artículo
Artículo
publishedVersion
author Bogoya, M.
Ferreira, R.
Rossi, J.D.
author_facet Bogoya, M.
Ferreira, R.
Rossi, J.D.
author_sort Bogoya, M.
title A nonlocal nonlinear diffusion equation with blowing up boundary conditions
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 nonlocal nonlinear diffusion equation with blowing up boundary conditions
publishDate 2008
url http://hdl.handle.net/20.500.12110/paper_0022247X_v337_n2_p1284_Bogoya
work_keys_str_mv AT bogoyam anonlocalnonlineardiffusionequationwithblowingupboundaryconditions
AT ferreirar anonlocalnonlineardiffusionequationwithblowingupboundaryconditions
AT rossijd anonlocalnonlineardiffusionequationwithblowingupboundaryconditions
AT bogoyam nonlocalnonlineardiffusionequationwithblowingupboundaryconditions
AT ferreirar nonlocalnonlineardiffusionequationwithblowingupboundaryconditions
AT rossijd nonlocalnonlineardiffusionequationwithblowingupboundaryconditions
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