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Local integration by parts and Pohozaev indentities for higuer order fractional Laplacians

Authors :
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
Ros Oton, Xavier
Serra Montolí, Joaquim
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
Ros Oton, Xavier
Serra Montolí, Joaquim
Publication Year :
2015

Abstract

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.<br />Peer Reviewed<br />Postprint (published version)

Details

Database :
OAIster
Notes :
20 p., application/pdf, English
Publication Type :
Electronic Resource
Accession number :
edsoai.on1132976894
Document Type :
Electronic Resource