Boundary fluxes for nonlocal diffusion

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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...

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Detalles Bibliográficos
Autores principales:	Cortazar, C., Elgueta, M., Rossi, J.D., Wolanski, N.
Formato:	Artículo publishedVersion
Lenguaje:	Inglés
Publicado:	2007
Materias:	Boundary value problems Nonlocal diffusion
Acceso en línea:	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	paperaa:paper_00220396_v234_n2_p360_Cortazar
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spelling	paperaa:paper_00220396_v234_n2_p360_Cortazar2023-06-12T16:43:38Z Boundary fluxes for nonlocal diffusion J. Differ. Equ. 2007;234(2):360-390 Cortazar, C. Elgueta, M. Rossi, J.D. Wolanski, N. 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 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_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)
language	Inglés
orig_language_str_mv	eng
topic	Boundary value problems Nonlocal diffusion
spellingShingle	Boundary value problems Nonlocal diffusion Cortazar, C. Elgueta, M. Rossi, J.D. Wolanski, N. 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.
format	Artículo Artículo publishedVersion
author	Cortazar, C. Elgueta, M. Rossi, J.D. Wolanski, N.
author_facet	Cortazar, C. Elgueta, M. Rossi, J.D. Wolanski, N.
author_sort	Cortazar, C.
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	http://hdl.handle.net/20.500.12110/paper_00220396_v234_n2_p360_Cortazar
work_keys_str_mv	AT cortazarc boundaryfluxesfornonlocaldiffusion AT elguetam boundaryfluxesfornonlocaldiffusion AT rossijd boundaryfluxesfornonlocaldiffusion AT wolanskin boundaryfluxesfornonlocaldiffusion
_version_	1769810017232355328

Boundary fluxes for nonlocal diffusion

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