Hardy Inequality and Heat Semigroup Estimates for Riemannian Manifolds with Singular Data

Upper bounds are obtained for the heat content of an open set D in a geodesically complete Riemannian manifold M with Dirichlet boundary condition on ∂D, and non-negative initial condition. We show that these upper bounds are close to being sharp if (i) the Dirichlet-Laplace-Beltrami operator acting...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Communications in partial differential equations 2012-05, Vol.37 (5), p.885-900
Hauptverfasser:	van den Berg, M., Gilkey, P., Grigor'yan, A., Kirsten, K.
Format:	Artikel
Sprache:	eng
Schlagworte:	Brownian motion Estimates Hardy inequality Heat content Inequality Singular data Studies
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!