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 http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00220396_v234_n2_p360_Cortazar_oai |
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I28-R145-paper_00220396_v234_n2_p360_Cortazar_oai2020-10-19 Cortazar, C. Elgueta, M. Rossi, J.D. Wolanski, N. 2007 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. application/pdf http://hdl.handle.net/20.500.12110/paper_00220396_v234_n2_p360_Cortazar info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Differ. Equ. 2007;234(2):360-390 Boundary value problems Nonlocal diffusion Boundary fluxes for nonlocal diffusion info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00220396_v234_n2_p360_Cortazar_oai |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-145 |
| collection |
Repositorio Digital de la Universidad de Buenos Aires (UBA) |
| 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 http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00220396_v234_n2_p360_Cortazar_oai |
| work_keys_str_mv |
AT cortazarc boundaryfluxesfornonlocaldiffusion AT elguetam boundaryfluxesfornonlocaldiffusion AT rossijd boundaryfluxesfornonlocaldiffusion AT wolanskin boundaryfluxesfornonlocaldiffusion |
| _version_ |
1766026578544820224 |