Metric Hopf-Lax formula with semicontinuous data

被引：21

作者：

Dragoni, Federica ^{[1
]}

机构：

[1] Scuola Normale Super Pisa, Pisa, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2007年 / 17卷 / 04期

关键词：

Hamilton-Jacobi equations; Hopf-Lax formula; Dynamical Programming Principle; Carnot-Caratheodory distances;

D O I：

10.3934/dcds.2007.17.713

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study a metric Hopf-Lax formula looking in particular at the Carnot-Caratheodory case. We generalize many properties of the classical euclidean Hopf-Lax formula and we use it in order to get existence results for Hamilton-Jacobi-Cauchy problems satisfying a suitable Hormander condition.

引用

页码：713 / 729

页数：17

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