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 |