How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems

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dc.creatorCortazar, C.
dc.creatorElgueta, M.
dc.creatorRossi, J. D.
dc.creatorWolanski, N.
dc.date2006-07-03
dc.date.accessioned2026-07-07T07:17:57Z
dc.date.available2026-07-07T07:17:57Z
dc.descriptionWe present a model for nonlocal diffusion with Neumann boundary conditions in a bounded smooth domain prescribing the flux through the boundary. We study the limit of this family of nonlocal diffusion operators when a rescaling parameter related to the kernel of the nonlocal operator goes to zero. We prove that the solutions of this family of problems converge to a solution of the heat equation with Neumann boundary conditions.
dc.identifierhttps://arxiv.org/abs/math/0607058
dc.identifierhttp://arxiv.org/abs/math/0607058
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114128
dc.subjectAnalysis of PDEs
dc.subject35K57, 35B40
dc.titleHow to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems
dc.typetext

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