Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592976 | Journal of Functional Analysis | 2006 | 20 Pages |
Abstract
We consider general Schrödinger operators on domains of Riemannian manifolds with possibly exponential volume growth. We prove sharp large time Gaussian upper bounds. These bounds are then used to prove new Lp–Lp estimates for the corresponding semigroups. Applications to semi-linear parabolic equations are given.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory