Zusammenfassung für den Vortrag am 21.04.2006 (11:30 Uhr)

Michiel van den Berg (Bristol University)

Heat flow, Brownian motion and Hardy inequality for complete Riemannian manifolds

Bounds are obtained for the heat content of an open set in a complete Riemannian manifold, provided the Dirichlet Laplace Beltrami operator satisfies a strong Hardy inequality. Brownian motion tools are used to obtain asymptotic results in various examples.