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

20 Aug 2018  ·  Tim Binz ·

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 $\frac{\pi}{2}$...

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Functional Analysis 47D06, 34G10, 47E05, 47F05