Hamilton-Jacobi Equations on Graph and Applications

被引：0
作者：
Yan Shu
机构：
[1] Modélisation aléatoire de Paris Ouest Nanterre La Défense(MODAL’X),
来源：
Potential Analysis | 2018年 / 48卷
关键词：
Hamilton-Jacobi equations; Weak-transport entropy inequalities; Modified Log-Sob inequalities on graphs; 35F21; 35R02; 37L50; 70H20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper introduces a notion of gradient and an infimal-convolution operator that extend properties of solutions of Hamilton Jacobi equations to more general spaces, in particular to graphs. As a main application, the hypercontractivity of this class of infimal-convolution operators is connected to some discrete version of the log-Sobolev inequality and to a discrete version of Talagrand’s transport inequality.
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页码：125 / 157
页数：32
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