The limit as p → ∞ in a nonlocal p-Laplacian evolution equation: a nonlocal approximation of a model for sandpiles
نویسندگان
چکیده
منابع مشابه
THE LIMIT AS p →∞ IN A NONLOCAL p−LAPLACIAN EVOLUTION EQUATION. A NONLOCAL APPROXIMATION OF A MODEL FOR SANDPILES
In this paper we study the nonlocal ∞−Laplacian type diffusion equation obtained as the limit as p →∞ to the nonlocal analogous to the p−Laplacian evolution, ut(t, x) = ∫ RN J(x− y)|u(t, y)− u(t, x)|p−2(u(t, y)− u(t, x)) dy. We prove existence and uniqueness of a limit solution that verifies an equation governed by the subdifferetial of a convex energy functional associated to the indicator fun...
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2008
ISSN: 0944-2669,1432-0835
DOI: 10.1007/s00526-008-0205-2