Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898844 | Journal of Geometry and Physics | 2008 | 5 Pages |
Abstract
In this paper, we prove a new localized version of a gradient estimate for Schrödinger operators on the complete manifolds without boundary and with Ricci curvature bounded below by a negative constant. As its application, we derive the Liouville type theorem, the Harnack inequality and the Gaussian lower bound of the heat kernel of Schrödinger operators.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Qi-hua Ruan,