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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Detalles Bibliográficos
Autores principales:	Cortazar, C., Elgueta, M., Rossi, J.D.
Formato:	JOUR
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_00212172_v170_n1_p53_Cortazar
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_00212172_v170_n1_p53_Cortazar
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spelling	todo:paper_00212172_v170_n1_p53_Cortazar2023-10-03T14:20:47Z Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions Cortazar, C. Elgueta, M. Rossi, J.D. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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.
format	JOUR
author	Cortazar, C. Elgueta, M. Rossi, J.D.
spellingShingle	Cortazar, C. Elgueta, M. Rossi, J.D. Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions
author_facet	Cortazar, C. Elgueta, M. Rossi, J.D.
author_sort	Cortazar, C.
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
url	http://hdl.handle.net/20.500.12110/paper_00212172_v170_n1_p53_Cortazar
work_keys_str_mv	AT cortazarc nonlocaldiffusionproblemsthatapproximatetheheatequationwithdirichletboundaryconditions AT elguetam nonlocaldiffusionproblemsthatapproximatetheheatequationwithdirichletboundaryconditions AT rossijd nonlocaldiffusionproblemsthatapproximatetheheatequationwithdirichletboundaryconditions
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Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions

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