Gradient estimates for harmonic functions
on regular domains in Riemannian manifolds
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
methods, as introduced by Cranston, and allows to improve
some known estimates. We discuss two slightly different ways
to exploit derivative formulae where each one should be
interesting by itself.
by Anton Thalmaier and Feng-Yu Wang
Journal of Functional Analysis 155 (1998) 109-124
The paper is available here:
Anton Thalmaier <firstname.lastname@example.org>
Feng-Yu Wang <email@example.com>
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