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
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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
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Año: | 2009
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Volumen: | 170
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Número: | 1
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Página de inicio: | 53
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Página de fin: | 60
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DOI: |
http://dx.doi.org/10.1007/s11856-009-0019-8 |
Título revista: | Israel Journal of Mathematics
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Título revista abreviado: | Isr. J. Math.
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ISSN: | 00212172
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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