Boundary fluxes for non-local diffusion

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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 study a nonlocal diffusion operator in a bounded smooth domain prescribing the flux through the boundary. This problem may be seen as a generalization of the usual Neumann problem for the heat equation. First, we prove existence, uniqueness and a comparison principle. Next, we study the behavior of solutions for some prescribed boundary data including blowing up ones. Finally, we look at a nonlinear flux boundary condition.
dc.identifierhttps://arxiv.org/abs/math/0607057
dc.identifierhttp://arxiv.org/abs/math/0607057
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114127
dc.subjectAnalysis of PDEs
dc.subject35K57, 35B40
dc.titleBoundary fluxes for non-local diffusion
dc.typetext

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