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...
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2007
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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00220396_v234_n2_p360_Cortazar |
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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 |