Article ID Journal Published Year Pages File Type
4669733 Comptes Rendus Mathematique 2015 6 Pages PDF
Abstract

We generalize some results concerning the fractional powers of the Laplace operator to the setting of nilpotent Lie Groups and we study its relationship with the solutions to a partial differential equation in the spirit of the articles of Caffarelli & Silvestre [1] and Stinga & Torrea [7].

RésuméNous généralisons aux groupes de Lie nilpotents les travaux de Caffarelli & Silvestre [1] et Stinga & Torrea [7] concernant la relation existant entre les puissances fractionnaires de l'opérateur laplacien et les solutions d'une équation aux dérivées partielles.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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