Thalmaier, Anton and Wang, Feng-Yu (1998) Gradient estimates for harmonic functions on regular domains in Riemannian manifolds. JOURNAL OF FUNCTIONAL ANALYSIS, 155 (1). pp. 109-124. ISSN 0022-1236, 1096-0783
Full text not available from this repository.Abstract
Derivative formulae for heat semigroups are used to give gradient estimates for harmonic functions on regular domains in Riemannian manifolds. This probabilistic method provides an alternative to coupling techniques, as introduced by Cranston, and allows us to improve some known estimates. We discuss two slightly different ways to exploit derivative formulae where each one should be interesting by itself. (C) 1998 Academic Press.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Brownian motion; harmonic function; heat kernel; gradient estimate |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 21 Feb 2023 08:44 |
| Last Modified: | 21 Feb 2023 08:44 |
| URI: | https://pred.uni-regensburg.de/id/eprint/49813 |
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