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

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor.author	Ros Oton, Xavier
dc.contributor.author	Serra Montolí, Joaquim
dc.date	2015-05-01
dc.identifier.citation	Ros, 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.
dc.identifier.citation	1078-0947
dc.identifier.citation	10.3934/dcds.2015.35.2131
dc.identifier.uri	http://hdl.handle.net/2117/26025
dc.language.iso	eng
dc.relation	http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=10650
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject	Differential equations
dc.subject	Fractional Laplacian
dc.subject	higher order
dc.subject	Pohozaev identity
dc.subject	integration by parts
dc.subject	bounded domains
dc.subject	Dirichlet problem
dc.subject	NAVIER-STOKES EQUATION
dc.subject	CONFORMAL GEOMETRY
dc.subject	REGULARITY
dc.subject	CONTROLLABILITY
dc.subject	STABILIZATION
dc.subject	INEQUALITY
dc.subject	CURVATURE
dc.subject	OPERATORS
dc.subject	BOUNDARY
dc.subject	SYSTEMS
dc.subject	Equacions diferencials parcials
dc.title	Local integration by parts and Pohozaev indentities for higuer order fractional Laplacians
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	info:eu-repo/semantics/article
dc.description.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.
dc.description.abstract	Peer Reviewed

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