Boundary fluxes for nonlocal diffusion

We study a nonlocal diffusion operator in a bounded smooth domain prescribing the flux through the boundary. This problem may be seen as a generalization of the usual Neumann problem for the heat equation. First, we prove existence, uniqueness and a comparison principle. Next, we study the behavior...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Rossi, Julio Daniel, Wolanski, Noemi Irene
Publicado: 2007
Materias:
Boundary value problems
Nonlocal diffusion
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00220396_v234_n2_p360_Cortazar
http://hdl.handle.net/20.500.12110/paper_00220396_v234_n2_p360_Cortazar
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00220396_v234_n2_p360_Cortazar
record_format dspace
spelling paper:paper_00220396_v234_n2_p360_Cortazar2023-06-08T14:45:10Z Boundary fluxes for nonlocal diffusion Rossi, Julio Daniel Wolanski, Noemi Irene Boundary value problems Nonlocal diffusion We study a nonlocal diffusion operator in a bounded smooth domain prescribing the flux through the boundary. This problem may be seen as a generalization of the usual Neumann problem for the heat equation. First, we prove existence, uniqueness and a comparison principle. Next, we study the behavior of solutions for some prescribed boundary data including blowing up ones. Finally, we look at a nonlinear flux boundary condition. © 2006 Elsevier Inc. All rights reserved. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Wolanski, N. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2007 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00220396_v234_n2_p360_Cortazar http://hdl.handle.net/20.500.12110/paper_00220396_v234_n2_p360_Cortazar
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Boundary value problems
Nonlocal diffusion
spellingShingle Boundary value problems
Nonlocal diffusion
Rossi, Julio Daniel
Wolanski, Noemi Irene
Boundary fluxes for nonlocal diffusion
topic_facet Boundary value problems
Nonlocal diffusion
description We study a nonlocal diffusion operator in a bounded smooth domain prescribing the flux through the boundary. This problem may be seen as a generalization of the usual Neumann problem for the heat equation. First, we prove existence, uniqueness and a comparison principle. Next, we study the behavior of solutions for some prescribed boundary data including blowing up ones. Finally, we look at a nonlinear flux boundary condition. © 2006 Elsevier Inc. All rights reserved.
author Rossi, Julio Daniel
Wolanski, Noemi Irene
author_facet Rossi, Julio Daniel
Wolanski, Noemi Irene
author_sort Rossi, Julio Daniel
title Boundary fluxes for nonlocal diffusion
title_short Boundary fluxes for nonlocal diffusion
title_full Boundary fluxes for nonlocal diffusion
title_fullStr Boundary fluxes for nonlocal diffusion
title_full_unstemmed Boundary fluxes for nonlocal diffusion
title_sort boundary fluxes for nonlocal diffusion
publishDate 2007
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00220396_v234_n2_p360_Cortazar
http://hdl.handle.net/20.500.12110/paper_00220396_v234_n2_p360_Cortazar
work_keys_str_mv AT rossijuliodaniel boundaryfluxesfornonlocaldiffusion
AT wolanskinoemiirene boundaryfluxesfornonlocaldiffusion
_version_ 1768546661754208256

Ejemplares similares