Equation 12.34.500A6644760C0

\begin{equation} \dot u=2\pi \log \frac{(\gamma _ t+\mathrm{dd}^{\mathrm{c}}u)^ n}{\Omega }, \qquad \gamma _ t+\mathrm{dd}^{\mathrm{c}}u>0,\qquad u(0)=0. \end{equation}