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

The aim of this paper is to study uniformly elliptic operators with general Wentzell boundary conditions in suitable $L^p$-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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Electronic journal of differential equations 2006-09, Vol.2006 (118), p.1-20
Hauptverfasser: Delio Mugnolo, Silvia Romanelli
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The aim of this paper is to study uniformly elliptic operators with general Wentzell boundary conditions in suitable $L^p$-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.
ISSN:1072-6691