Article contents
Gradient estimates and heat kernel estimates
Published online by Cambridge University Press: 14 November 2011
Extract
In the first part of this paper, Yau's estimates for positive L-harmonic functions and Li and Yau's gradient estimates for the positive solutions of a general parabolic heat equation on a complete Riemannian manifold are obtained by the use of Bakry and Emery's theory. In the second part we establish a heat kernel bound for a second-order differential operator which has a bounded and measurable drift, using Girsanov's formula.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 5 , 1995 , pp. 975 - 990
- Copyright
- Copyright © Royal Society of Edinburgh 1995
References
- 8
- Cited by