Equation 11.2.13173E9E78941E

\begin{equation} DE_{\omega ,u}(v)-\int _ Xv\omega _ u^2 =\int _ Xv\bigl (u\mathrm{dd}^{\mathrm{c}}\omega +\mathrm{d}u\wedge \mathrm d^{\mathrm c}\omega -\mathrm d^{\mathrm c}u\wedge \mathrm{d}\omega \bigr ). \end{equation}