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Departamento Gestión de Conocimiento, Monitoreo y Prospección
Consultas o comentarios: productividad@anid.cl
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An extension problem for the CR fractional Laplacian
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| DOI | 10.1016/J.AIM.2014.09.026 | ||||
| Año | 2015 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
Abstract
We show that the conformally invariant fractional powers of the sub-Laplacian on the Heisenberg group are given in terms of the scattering operator for an extension problem to the Siegel upper halfspace. Remarkably, this extension problem is different from the one studied, among others, by Caffarelli and Silvestre. We also prove an energy identity that yields a sharp trace Sobolev embedding. (C) 2014 Elsevier Inc. All rights reserved.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | Frank, Rupert L. | Hombre |
CALTECH - Estados Unidos
California Institute of Technology - Estados Unidos |
| 2 | GONZALEZ, MARIA DEL MAR | Mujer |
Univ Politecn Cataluna - España
Universitat Politècnica de Catalunya - España |
| 3 | Monticelli, Dario D. | Hombre |
Univ Milan - Italia
Università degli Studi di Milano - Italia |
| 4 | Tan, Jinggang | - |
Universidad Técnica Federico Santa María - Chile
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| Fuente |
|---|
| National Science Foundation |
| Fondo Nacional de Desarrollo Científico y Tecnológico |
| NSF |
| Fondo Nacional de Desarrollo CientÃfico y Tecnológico |
| Ministero dell’Istruzione, dell’Università e della Ricerca |
| Ministero dell’Istruzione, dell’Università e della Ricerca |
| GNAMPA |
| Chile Government |
| Spain Government |
| Programa Basal, CMM. U. de Chile |
| Gencat |
| MIUR project "Metodi variazionali e topologici nello studio di fenomeni nonlineari" |
| GNAMPA project |
| GNAMPA section "Equazioni differenziali e sistemi dinamici" |
| Directorate for Mathematical and Physical Sciences |
| Agradecimiento |
|---|
| R.F. acknowledges financial support from the NSF grants PHY-1068285 and PHY-1347399. M.G. was supported by Spain Government grant MTM2011-27739-C04-01 and GenCat 2009SGR345. D.M. was supported by GNAMPA project with title "Equazioni differenziali con invarianze in analisi globale", by GNAMPA section "Equazioni differenziali e sistemi dinamici" and by MIUR project "Metodi variazionali e topologici nello studio di fenomeni nonlineari". J.T. was supported by Chile Government grants Fondecyt #1120105, USM 121402, the Spain Government grant MTM2011-27739-C04-01 and Programa Basal, CMM. U. de Chile. |
| R.F. acknowledges financial support from the NSF grants PHY-1068285 and PHY-1347399 . M.G. was supported by Spain Government grant MTM2011-27739-C04-01 and GenCat 2009SGR345 . D.M. was supported by GNAMPA project with title “Equazioni differenziali con invarianze in analisi globale”, by GNAMPA section “Equazioni differenziali e sistemi dinamici” and by MIUR project “Metodi variazionali e topologici nello studio di fenomeni nonlineari”. J.T. was supported by Chile Government grants Fondecyt #1120105 , USM 121402 , the Spain Government grant MTM2011-27739-C04-01 and Programa Basal, CMM. U. de Chile. |
