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.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2019
- DOI:
- 10.48550/arXiv.1910.03049
- arXiv:
- arXiv:1910.03049
- Bibcode:
- 2019arXiv191003049D
- Keywords:
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- Mathematics - Probability;
- Primary 60J68;
- 60J80;
- Secondary 60H15;
- 60K35;
- 60K37
- E-Print:
- 27 pages