Asymptotic behavior for nonlocal diffusion equations
نویسندگان
چکیده
منابع مشابه
Asymptotic Behavior for Nonlocal Diffusion Equations
We study the asymptotic behavior for nonlocal diffusion models of the form ut = J ∗ u − u in the whole R or in a bounded smooth domain with Dirichlet or Neumann boundary conditions. In R we obtain that the long time behavior of the solutions is determined by the behavior of the Fourier transform of J near the origin, which is linked to the behavior of J at infinity. If Ĵ(ξ) = 1 − A|ξ| + o(|ξ|) ...
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2006
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2006.04.005