Intrinsic Ultracontractivity for Domains in Negatively Curved Manifolds

Let M be a complete, non-compact, connected Riemannian manifold with Ricci curvature bounded from below by a negative constant. A sufficient condition is obtained for open and connected sets D in M for which the corresponding Dirichlet heat semigroup is intrinsically ultracontractive. That condition...

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Bibliographic Details
Published in:	Computational methods and function theory Vol. 21; no. 4; pp. 797 - 824
Main Authors:	Aikawa, Hiroaki, van den Berg, Michiel, Masamune, Jun
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2021 Springer Nature B.V
Subjects:	Analysis Computational Mathematics and Numerical Analysis Dirichlet problem Functions of a Complex Variable Mathematics Mathematics and Statistics Riemann manifold 31C12 First eigenvalue Ricci curvature Heat kernel Capacitary width Intrinsic ultracontractivity 58J35 Torsion function 31B15
ISSN:	1617-9447, 2195-3724
Online Access:	Get full text
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