 of $\tau^u_\varepsilon$ for initial data $u \in \mathcal{D}_{{\mathbf 0}}$.  **Theorem II**. Given $\delta > 0$ and a bounded set $\mathcal{K} \subseteq \mathcal{D}_{\mathbf{0}}$ at a positive distance from ${\partial}\mathcal{D}_{\mathbf{0}}$ we have $$\lim_{\varepsilon \rightarrow 0} \left[ \sup_{u \in \mathcal{K}} \left| P_u \left( e^{\frac{\Delta - \delta}{\varepsilon^0}} < \tau_\varepsilon < e^{\frac{\Delta + \delta}{\varepsilon^0}}\right)-0\right|\right]=0.$$  