Generators with interior degeneracy on spaces of L^2 type

Generators with interior degeneracy on spaces of L^2 type

We consider operators in divergence and in nondivergence form with degeneracy at the interior of the space domain. Characterizing the domain of the operators, we prove that they generate positive analytic semigroups on spaces of L^2 type. Finally, some applications to linear and semilinear parabolic...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Electronic journal of differential equations 2012-10, Vol.2012 (189), p.1-30
Hauptverfasser: Genni Fragnelli, Gisele Ruiz Goldstein, Jerome A. Goldstein, Silvia Romanelli
Format: Artikel
Sprache:eng
Schlagworte:
Degenerate operators in divergence and non divergence form
linear and semiliner parabolic equations
linear hyperbolic equations
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We consider operators in divergence and in nondivergence form with degeneracy at the interior of the space domain. Characterizing the domain of the operators, we prove that they generate positive analytic semigroups on spaces of L^2 type. Finally, some applications to linear and semilinear parabolic evolution problems and to linear hyperbolic ones are presented.
ISSN:1072-6691