A nonlocal nonlinear diffusion equation with blowing up boundary conditions

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
Autor principal: Rossi, Julio Daniel
Publicado: 2008
Materias:
Neumann boundary conditions
Nonlocal diffusion
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v337_n2_p1284_Bogoya
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
id paper:paper_0022247X_v337_n2_p1284_Bogoya
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spelling paper:paper_0022247X_v337_n2_p1284_Bogoya2023-06-08T14:47:51Z A nonlocal nonlinear diffusion equation with blowing up boundary conditions Rossi, Julio Daniel 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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v337_n2_p1284_Bogoya 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)
topic Neumann boundary conditions
Nonlocal diffusion
spellingShingle Neumann boundary conditions
Nonlocal diffusion
Rossi, Julio Daniel
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.
author Rossi, Julio Daniel
author_facet Rossi, Julio Daniel
author_sort Rossi, Julio Daniel
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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v337_n2_p1284_Bogoya
http://hdl.handle.net/20.500.12110/paper_0022247X_v337_n2_p1284_Bogoya
work_keys_str_mv AT rossijuliodaniel anonlocalnonlineardiffusionequationwithblowingupboundaryconditions
AT rossijuliodaniel nonlocalnonlineardiffusionequationwithblowingupboundaryconditions
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