Joint Hölder continuity of local time for a class of interacting branching measure valued diffusions

Donald Andrew Dawson, Jean Vaillancourt, Hao Wang

Published 2019-10-07Version 1

Using a Tanaka representation of the local time for a class of superprocesses with dependent spatial motion, as well as sharp estimates from the theory of uniformly parabolic partial differential equations, the joint H\"older continuity in time and space of said local times is obtained in two and three dimensional Euclidean space.