The purpose of this paper is to study the collision or non-collision problem for interacting Brownian particles in the framework of theory of Dirichlet forms. The result is closely related to a question on existence and uniqueness of strong solutions for stochastic differential equations with singular drifts.
Kiyokazu Inukai. "Collision or non-collision problem for interacting Brownian particles." Proc. Japan Acad. Ser. A Math. Sci. 82 (4) 66 - 70, April 2006. https://doi.org/10.3792/pjaa.82.66