2 problems

Let $f$ satisfy (F1) with $q\geq 1$, suppose that $f'(u)F(u)\leq q$ for all sufficiently large $u>0$, and let $\phi\geq 0$. Set … If … then (S1E1) has a local-in-time solution. Exi…

Refined approximation conjecture. The law of $\lambda^{\frac12}P_{\cdot/\lambda}$ satisfies