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

Abstract

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 Hölder continuity in time and space of said local times is obtained in two and three dimensional Euclidean space.

27 pages

Cited by in corpus (1)

• Tanaka formula and local time for a class of interacting branching measure-valued diffusions