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Abstract:

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.

Registro:

Documento: Artículo
Título:Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions
Autor:Cortazar, C.; Elgueta, M.; Rossi, J.D.
Filiación:Departamento de Matemática, Universidad Catolica de Chile, Casilla 306, Correo 22, Santiago, Chile
Departamento de Matemática, FCEyN UBA (1428), Buenos Aires, Argentina
Año:2009
Volumen:170
Número:1
Página de inicio:53
Página de fin:60
DOI: http://dx.doi.org/10.1007/s11856-009-0019-8
Título revista:Israel Journal of Mathematics
Título revista abreviado:Isr. J. Math.
ISSN:00212172
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00212172_v170_n1_p53_Cortazar

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Citas:

---------- APA ----------
Cortazar, C., Elgueta, M. & Rossi, J.D. (2009) . Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions. Israel Journal of Mathematics, 170(1), 53-60.
http://dx.doi.org/10.1007/s11856-009-0019-8
---------- CHICAGO ----------
Cortazar, C., Elgueta, M., Rossi, J.D. "Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions" . Israel Journal of Mathematics 170, no. 1 (2009) : 53-60.
http://dx.doi.org/10.1007/s11856-009-0019-8
---------- MLA ----------
Cortazar, C., Elgueta, M., Rossi, J.D. "Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions" . Israel Journal of Mathematics, vol. 170, no. 1, 2009, pp. 53-60.
http://dx.doi.org/10.1007/s11856-009-0019-8
---------- VANCOUVER ----------
Cortazar, C., Elgueta, M., Rossi, J.D. Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions. Isr. J. Math. 2009;170(1):53-60.
http://dx.doi.org/10.1007/s11856-009-0019-8