Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4669733 | Comptes Rendus Mathematique | 2015 | 6 Pages |
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)
Authors
Diego Chamorro, Oscar Jarrín,