The Laplacian on $C(\overline{Omega})$ with generalized Wentzell boundary conditions

In this note we prove that the Laplacian with generalized Wentzell boundary conditions on an open bounded regular domain Omega in R-m defined by (1) Af := Deltaf, D(A) := {f is an element of C-n(1) ((Omega) over bar) : Deltaf is an element of C((Omega) over bar); Deltaf + betapartial derivativef/partial derivativen + gammaf = 0 on partial derivativeOmega} generates an analytic semigroup of angle pi/2 on C((Omega) over bar) for every beta > 0 and gamma is an element of C (partial derivativeOmega) (for the 2 definition of C-n(1) ((Omega) over bar) cf. (1.3)).