Let $\Omega_3 = \overline{Q_1 \cup Q_2}$ with $Q_1 = (-1, 3) \times (0,2) \times (-1, 0)$ and $Q_2 = (0,2) \times (-1, 3) \times (0,1)$

Here is what I've done until now: $\Omega_3$ can be imagines as two cuboids which are on top of each other. So, geometrically, one can see that the boundary is smooth. But how can this be shown mathematically?


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