Maximal $L^p$-regularity and $H^{\infty }$-calculus for block operator matrices and applications

Antonio Agresti, Amru Hussein

Many coupled evolution equations can be described via $2\times 2$-block operator matrices of the form $\mathcal{A}=\left[\begin{array}{cc}A& B\\ C& D\end{array}\right]$ in a product space $…