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arxiv: 1806.05593 · v1 · pith:IHE5PD7Rnew · submitted 2018-06-14 · 🧮 math.AP

Neumann conditions for the higher order s-fractional Laplacian (-Delta)^su with s>1

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keywords neumannconditionsfractionalhigherlaplacianorderappearboundary
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In this paper we study a variational Neumann problem for the higher order $s$-fractional Laplacian, with $s>1$. In the process, we introduce some non-local Neumann boundary conditions that appear in a natural way from a Gauss-like integration formula.

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