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The Feller property on Riemannian manifolds
- Source :
-
Journal of Functional Analysis . Mar2012, Vol. 262 Issue 5, p2481-2515. 35p. - Publication Year :
- 2012
-
Abstract
- Abstract: The asymptotic behavior of the heat kernel of a Riemannian manifold gives rise to the classical concepts of parabolicity, stochastic completeness (or conservative property) and Feller property (or -diffusion property). Both parabolicity and stochastic completeness have been the subject of a systematic study which led to discovering not only sharp geometric conditions for their validity but also an incredible rich family of tools, techniques and equivalent concepts ranging from maximum principles at infinity, function theoretic tests (Khasʼminskii criterion), comparison techniques etc. The present paper aims to move a number of steps forward in the development of a similar apparatus for the Feller property. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00221236
- Volume :
- 262
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Journal of Functional Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 70406792
- Full Text :
- https://doi.org/10.1016/j.jfa.2011.12.001