A nonlocal nonlinear diffusion equation with blowing up boundary conditions

Mostrar todas las versiones(3)

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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Bogoya, M., Ferreira, R., Rossi, J.D.
Formato: JOUR
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
id todo:paper_0022247X_v337_n2_p1284_Bogoya
record_format dspace
spelling todo:paper_0022247X_v337_n2_p1284_Bogoya2023-10-03T14:29:12Z A nonlocal nonlinear diffusion equation with blowing up boundary conditions 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. JOUR 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)
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 JOUR
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
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
_version_ 1782030178185117696

Ejemplares similares