Strictly elliptic operators with Dirichlet boundary conditions on spaces of continuous functions on manifolds

Abstract

We study strictly elliptic differential operators with Dirichlet boundary conditions on the space $\mathrm{C}(\overline{M})$ of continuous functions on a compact, Riemannian manifold $\overline{M}$ with boundary and prove sectoriality with optimal angle $\frac{\pi}{2}$.