Heat kernel bounds, conservation of probability and the Feller property
The author studies conditions under which the heat semigroup of a weighted Laplace-Beltrami operator on a Riemannian manifold conserves probability and has the Feller property, respectively. He obtains a pointwise Gaussian upper bound on heat kernels. The results can be extended for instance to Lipschitz manifolds.
scientific article; zbMATH DE number 640333
scientific article