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| HAL: hal-00321828, version 1 |
| arXiv: 0809.2654 |
| Detailed view |  Export this paper |
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| Logarithmic Sobolev inequalities: regularizing effect of Lévy operators and asymptotic convergence in the Lévy-Fokker-Planck equation |
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| Ivan Gentil 1Cyril Imbert 1 |
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| (2008-07-15) |
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| In this paper we study some applications of the Lévy logarithmic Sobolev inequality to the study of the regularity of the solution of the fractal heat equation, i. e. the heat equation where the Laplacian is replaced with the fractional Laplacian. It is also used to the study of the asymptotic behaviour of the Lévy-Ornstein-Uhlenbeck process. |
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| 1: | CEntre de REcherches en MAthématiques de la DEcision (CEREMADE) |
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CNRS : UMR7534 – Université Paris Dauphine - Paris IX |
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| Subject | : | Mathematics/Probability |
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| hal-00321828, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00321828/en/ | |
| oai:hal.archives-ouvertes.fr:hal-00321828_v1 | |
| From: Ivan Gentil | |
| Submitted on: Monday, 15 September 2008 22:17:09 | |
| Updated on: Tuesday, 16 September 2008 09:32:18 | |
