Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions

We present a model for nonlocal diffusion with Dirichlet boundary conditions in a bounded smooth domain. We prove that solutions of properly rescaled nonlocal problems approximate uniformly the solution of the corresponding Dirichlet problem for the classical heat equation. © 2009 Hebrew University...

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Autor principal: Rossi, Julio Daniel
Publicado: 2009
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00212172_v170_n1_p53_Cortazar
http://hdl.handle.net/20.500.12110/paper_00212172_v170_n1_p53_Cortazar
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00212172_v170_n1_p53_Cortazar
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spelling paper:paper_00212172_v170_n1_p53_Cortazar2023-06-08T14:42:02Z Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions Rossi, Julio Daniel We present a model for nonlocal diffusion with Dirichlet boundary conditions in a bounded smooth domain. We prove that solutions of properly rescaled nonlocal problems approximate uniformly the solution of the corresponding Dirichlet problem for the classical heat equation. © 2009 Hebrew University Magnes Press. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00212172_v170_n1_p53_Cortazar http://hdl.handle.net/20.500.12110/paper_00212172_v170_n1_p53_Cortazar
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We present a model for nonlocal diffusion with Dirichlet boundary conditions in a bounded smooth domain. We prove that solutions of properly rescaled nonlocal problems approximate uniformly the solution of the corresponding Dirichlet problem for the classical heat equation. © 2009 Hebrew University Magnes Press.
author Rossi, Julio Daniel
spellingShingle Rossi, Julio Daniel
Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions
author_facet Rossi, Julio Daniel
author_sort Rossi, Julio Daniel
title Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions
title_short Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions
title_full Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions
title_fullStr Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions
title_full_unstemmed Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions
title_sort nonlocal diffusion problems that approximate the heat equation with dirichlet boundary conditions
publishDate 2009
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00212172_v170_n1_p53_Cortazar
http://hdl.handle.net/20.500.12110/paper_00212172_v170_n1_p53_Cortazar
work_keys_str_mv AT rossijuliodaniel nonlocaldiffusionproblemsthatapproximatetheheatequationwithdirichletboundaryconditions
_version_ 1768542489437798400

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