Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.Ros-Oton, XavierSerra, JoaquimValdinoci, Enrico2016-03-242019-06-2820152198-5855https://doi.org/10.34657/2979https://oa.tib.eu/renate/handle/123456789/2798We establish Pohozaev identities and integration by parts type formulas for anisotropic integro-differential operators of order 2s, with s ϵ (0, 1). These identities involve local boundary terms, in which the quantity u/ds ∂Ω plays the role that ∂u/∂v plays in the second order case. Here, u is any solution to Lu = f (x, u) in Ω, with u = 0 in Rn \ Ω , and d is the distance to ∂Ω.application/pdfeng510Pohozaev identitystable Lévy processesnonlocal operator.Pohozaev identities for anisotropic integro-differential operatorsReport