Dirichlet forms for general Wentzell boundary conditions, analytic semigroups, and cosine operator functions

Abstract

The aim of this paper is to study uniformly elliptic operators with general Wentzell boundary conditions in suitable Lp-spaces by using the approach of sesquilinear forms. We use different tools to re-prove analiticity and related results concerning the semigroups generated by the above operators. In addition, we make some complementary observations on, among other things, compactness issues and characterization of domains.