Hardy-Poincare inequalities and applications to nonlinear diffusions

被引：44
作者：
Blanchet, Adrien
Bonforte, Matteo
Dolbeault, Jean
Grillo, Gabriele
Vazquez, Juan-Luis
机构：
[1] Univ Paris 09, CEREMADE, F-75775 Paris 16, France
[2] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy
[3] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain
来源：
COMPTES RENDUS MATHEMATIQUE | 2007年 / 344卷 / 07期
关键词：
D O I：
10.1016/j.crma.2007.01.011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We systematically study weighted Poincare 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.
引用
收藏
页码：431 / 436
页数：6
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