Logarithmic Sobolev inequalities: Regularizing effect of Lévy operators and asymptotic convergence in the Lévy–Fokker–Planck equation
type: Item
instance of: scholarly article
title: Logarithmic Sobolev inequalities: Regularizing effect of Lévy operators and asymptotic convergence in the Lévy–Fokker–Planck equation
zbMATH Open document ID: 1202.47093
DOI: 10.1080/17442500903080306
author: Ivan Gentil
author: C. Imbert
published in: Stochastics
publication date: 2009-09-16T00:00:00Z
full work available at URL: https://arxiv.org/abs/0809.2654
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 46N20
Mathematics Subject Classification ID: 47G20
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 47D07
Mathematics Subject Classification ID: 60G60
zbMATH DE Number: 5604279
zbMATH Keywords: Fokker-Plank equation
zbMATH Keywords: Ornstein-Uhlenbeck equation
zbMATH Keywords: Lévy operator
zbMATH Keywords: \(\Phi\)-entropy inequalities
zbMATH Keywords: entropy production method
zbMATH Keywords: logarithmic Sobolev inequalities
zbMATH Keywords: fractional Laplacian
zbMATH Keywords: ultracontractivity
MaRDI profile type: Publication
OpenAlex ID: W1986275872
arXiv ID: 0809.2654
cites work: Fractal first-order partial differential equations
cites work: Q5503475
cites work: Logarithmic Sobolev Inequalities
description: scientific article