Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions |
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| Authors: | Carmen Cortazar Manuel Elgueta Julio D Rossi |
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| Institution: | (1) Departamento de Matemática, Universidad Catolica de Chile, Casilla 306, Correo 22, Santiago, Chile;(2) Departamento de Matemática, FCEyN UBA (1428), Buenos Aires, Argentina |
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| 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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| Keywords: | |
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