The Robin and Wentzell-Robin Laplacians on Lipschitz Domains

摘要

Let $Omegasubset{Bbb R}^N$ be a bounded domain with Lipschitz boundary. We prove in the first part that a realization of the Laplacian with Robin boundary conditions $frac{partial u}{partial nu}+beta u=0$ on the boundary $partial Omega$ generates a holomorphic $C_0$ -semigroup of angle $pi/2$ on $C(overline{Omega})$ if $0