Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591910 | Journal of Functional Analysis | 2007 | 36 Pages |
Abstract
We consider a one-dimensional generalized diffusion operator G on an open interval which is not necessarily bounded. We characterize [SP] (i.e., 1 is a small perturbation of the operator G) in terms of the classification of the boundary points from the view point of diffusion processes and give a sufficient condition for [IU] (i.e., the associated heat kernel is intrinsically ultracontractive).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory