Brownian Motion On A Lipschitz Riemannian Manifold Composed Of Different Materials

Abstract

This paper gives a short time Gaussian type of upper bound for the radial part of the Brownian motion on such a manifold under the condition that the volume growth of the geodesic ball is less fast than the exponential function of the squared radius

Keywords:

• Dirichlet form
• Brownian motion
• Lipschitz Riemannian manifold

Research supported by N.S.F.grant DMS-9204038

Research supported by N.S.F.grant DMS-9204038

Notes

Research supported by N.S.F.grant DMS-9204038