Kyo Yamazaki

A norm equivalence result for stochastic differential equations with locally Lipschitz coefficients

We establish two-sided weighted integrability estimates, often referred to as a norm equivalence result, for stochastic differential equations (SDEs) with locally Lipschitz coefficients. As a key ingredient in our approach, we also derive an SDE satisfied by the inverse stochastic flow under reduced regularity assumptions in the globally Lipschitz setting.