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.

中文翻译：

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一类相互作用的分支测度值扩散的联合Hölder局部时间连续性

使用具有相关空间运动的一类超级过程的本地时间的Tanaka表示，以及根据均匀抛物型偏微分方程的理论进行的精确估计，可以在两个和两个条件下获得所述本地时间在时间​​和空间上的联合Hölder连续性。三维欧几里德空间。