Stochastic flows for Hölder drifts and transport/continuity equations with noise

Magnus C. Ørke

We prove existence of a stochastic flow of diffeomorphisms generated by SDEs with drift in $L_t^q{C}_x^{0,\alpha }$ for any $q\in [2,\infty )$ and $\alpha \in (0,1)$. This result is achieved…