We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
SHORT-TIME ASYMPTOTICS OF HEAT KERNELS FOR A CLASS OF HYPOELLIPTIC OPERATORS.
- Authors
Brockett, R. W.; Mansouri, A.
- Abstract
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.
- Subjects
KERNEL functions; CONTROL theory (Engineering); HYPOELLIPTIC operators; LAPLACIAN operator; STOCHASTIC differential equations; ARITHMETICAL algebraic geometry
- Publication
American Journal of Mathematics, 2009, Vol 131, Issue 6, p1795
- ISSN
0002-9327
- Publication type
Article
- DOI
10.1353/ajm.0.0081