Local Integration by Parts and Pohozaev Identities for Higher Order Fractional Laplacians
نویسنده
چکیده
We establish an integration by parts formula in bounded domains for the higher order fractional Laplacian (−∆) with s > 1. We also obtain the Pohozaev identity for this operator. Both identities involve local boundary terms, and they extend the identities obtained by the authors in the case s ∈ (0, 1). As an immediate consequence of these results, we obtain a unique continuation property for the eigenfunctions (−∆)φ = λφ in Ω, φ ≡ 0 in R \ Ω.
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تاریخ انتشار 2014