Hardy–Poincaré inequalities and applications to nonlinear diffusions

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• 作者：Adrien Blanchet ; Matteo Bonforte ; Jean Dolbeault ; Gabriele Grillo ; Juan-Luis Vá ; zquez
• 刊名：Comptes Rendus Mathematique
• 出版年：2007
• 出版时间：1 April 2007
• 年：2007
• 卷：344
• 期：7
• 页码：431-436
• 全文大小：161 K

文摘

We systematically study weighted Poincaré type inequalities which are closely connected with Hardy type inequalities and establish the form of the optimal constants in some cases. Such inequalities are then used to relate entropy with entropy production and get intermediate asymptotics results for fast diffusion equations. To cite this article: A. Blanchet et al., C. R. Acad. Sci. Paris, Ser. I 344 (2007).