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.
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Cortazar, C., Elgueta, M. & Rossi, J.D. Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions. Isr. J. Math. 170, 53–60 (2009). https://doi.org/10.1007/s11856-009-0019-8
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DOI: https://doi.org/10.1007/s11856-009-0019-8