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

D.A. Dawson, J. Vaillancourt and H. Wang

Stochastic Processes and their Applications, 2021, vol. 138, issue C, 212-233

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.

Keywords: Measure-valued diffusions; Stochastic partial differential equations; Superprocesses; Joint Hölder continuity; Local time; Tanaka formula (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1016/j.spa.2021.04.015

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