Weak and viscosity solutions of the fractional Laplace equation
نویسندگان
چکیده
منابع مشابه
Weak and Viscosity Solutions of the Fractional Laplace Equation
Aim of this paper is to show that weak solutions of the following fractional Laplacian equation { (−∆)su = f in Ω u = g in Rn \ Ω are also continuous solutions (up to the boundary) of this problem in the viscosity sense. Here s ∈ (0, 1) is a fixed parameter, Ω is a bounded, open subset of Rn (n > 1) with C2-boundary, and (−∆)s is the fractional Laplacian operator, that may be defined as (−∆)u(x...
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ژورنال
عنوان ژورنال: Publicacions Matemàtiques
سال: 2014
ISSN: 0214-1493
DOI: 10.5565/publmat_58114_06