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