Analytic semigroups generated by Dirichlet-to-Neumann operators on manifolds

Abstract We consider the Dirichlet-to-Neumann operator associated to a strictly elliptic on space $$\mathrm {C}(\partial M)$$ C ( ∂ M ) of continuous functions boundary $$\partial M$$ compact manifold $$\overline{M}$$ ¯ with boundary. prove that it generates an analytic semigroup angle $$\frac{\pi }{2}$$ π 2 , generalizing and improving result Escher new proof. Combined abstract theory operators Wentzell conditions developed by Engel author, this yields corresponding semigroups {C}(\overline{M})$$ .