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

  • Tim BinzEmail author


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 \(\frac{\pi }{2}\).


Dirichlet boundary conditions Analytic semigroup Riemmanian manifolds 

Mathematics Subject Classification

47D06 34G10 47E05 47F05 



The author wishes to thank Professor Simon Brendle and Professor Klaus Engel for important suggestions and fruitful discussions. Moreover the author thanks the referee for his many helpful comments.


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Authors and Affiliations

  1. 1.Department of MathematicsUniversity of TübingenTübingenGermany

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