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

Cortázar C.; Elgueta, M; Rossi JD

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.

Más información

Título según WOS: Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions
Título según SCOPUS: Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions
Título de la Revista: ISRAEL JOURNAL OF MATHEMATICS
Volumen: 170
Número: 1
Editorial: HEBREW UNIV MAGNES PRESS
Fecha de publicación: 2009
Página de inicio: 53
Página final: 60
Idioma: English
URL: http://link.springer.com/10.1007/s11856-009-0019-8
DOI:

10.1007/s11856-009-0019-8

Notas: ISI, SCOPUS