2 problems

Let $s>1$ and let $\gamma^*$ denote the supremal Sobolev regularity of the target potential and initial density, … Assume that $\max\{d/2,s-1\}\leq\gamma^*<\infty$ and that the qua…

Let $\rho_0\in\mathcal{P}_V$, let $S_r$ be the stated class of flows, and for $u\in S_r$ define the pushforward measure $\rho_t=u(t,\cdot)_{\#}\rho_0$. For $u$-regularized Stein F…