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

  • Michiel van den Berg (Bristol University)
Raum n.n. Technische Universität Berlin (Berlin)


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.

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail