SHORT-TIME ASYMPTOTICS OF HEAT KERNELS FOR A CLASS OF HYPOELLIPTIC OPERATORS

被引：5

作者：

Brockett, R. W. ^{[1
]}

Mansouri, A. ^{[2
]}

机构：

[1] Harvard Univ, Sch Engn & Appl Sci, Cambridge, MA 02138 USA

[2] Queens Univ, Dept Math & Stat, Kingston, ON K7L 3N6, Canada

来源：

AMERICAN JOURNAL OF MATHEMATICS | 2009年 / 131卷 / 06期

基金：

美国国家科学基金会; 加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1353/ajm.0.0081

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute the short-time asymptotics of heat kernels for a family of hypoelliptic operators, and we relate these to the value function of an associated variational problem previously investigated in the control theory literature. These heat kernels generalize to the noncontact case a heat kernel that has been previously obtained for the contact hypoelliptic Laplacian defined on the Heisenberg group.

引用

页码：1795 / 1814

页数：20

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