Local integration by parts and Pohozaev indentities for higuer order fractional Laplacians
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We establish an integration by parts formula in bounded domains for the higher order fractional Laplacian (-Delta)(s) 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 is an element of (0,1).; As an immediate consequence of these results, we obtain a unique continuation property for the eigenfunctions (-Delta)(s)phi = lambda phi in Omega, phi equivalent to 0 in R-n\Omega.
CitationRos, X.; Serra, J. Local integration by parts and Pohozaev indentities for higuer order fractional Laplacians. "Discrete and continuous dynamical systems. Series A", 01 Maig 2015, vol. 35, núm. 5, p. 2131-2150.