Entropy-type inequalities for generalized Gamma densities

被引：0

作者：

Giuseppe Toscani

机构：

[1] University of Pavia,Department of Mathematics

[2] IMATI of the National Council for Research,undefined

来源：

Ricerche di Matematica | 2021年 / 70卷

关键词：

Kinetic models; Fokker–Planck equations; Relative entropies; Large-time behavior; 35Q84; 37A30; 39B62; 60J60; 82B21;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We investigate the relaxation to equilibrium of the solution of a class of one-dimensional linear Fokker–Planck type equations that have been recently considered in connection with the study of addiction phenomena in a system of individuals. The steady states of these equations belong to the class of generalized Gamma densities. As a by-product of the relaxation analysis, we prove new weighted Poincaré and logarithmic Sobolev type inequalities for this class of densities.

引用

页码：35 / 50

页数：15

共 50 条

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