Renormalized weighted volume for the conformal fractional Laplacian

We give a notion of renormalized weighted volume in the setting of conformal geometry following the ideas of Fefferman-Graham. Indeed, it is a precise term in the asymptotic expansion near the boundary for a weighted volume related to the conformal fractional Laplacian operator and fractional order...

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Detalles Bibliográficos
Autor: González Nogueras, María del Mar|||0000-0001-8237-7642
Tipo de recurso: informe técnico
Fecha de publicación:2011
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/14319
Acceso en línea:https://hdl.handle.net/2117/14319
Access Level:acceso abierto
Palabra clave:Laplacian operator
Geometry
Geometria algebraica
Àrees temàtiques de la UPC::Matemàtiques i estadística
Descripción
Sumario:We give a notion of renormalized weighted volume in the setting of conformal geometry following the ideas of Fefferman-Graham. Indeed, it is a precise term in the asymptotic expansion near the boundary for a weighted volume related to the conformal fractional Laplacian operator and fractional order Q-curvature