Browsing by Author "Wolanski, Noemi"

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    Asymptotic behavior for a one-dimensional nonlocal diffusion equation in exterior domains
    (2016) Cortázar, Carmen; Elgueta, Manuel; Quirós, Fernando; Wolanski, Noemi
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    Boundary fluxes for nonlocal diffusion
    (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2007) Cortazar, Carmen; Elgueta, Manuel; Rossi, Julio D.; Wolanski, Noemi
    We 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. (c) 2006 Elsevier Inc. All rights reserved.