Holder's inequality for perturbations of positive semigroups by potentials

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:316

Article

Arendt, W ; Demuth, M

关键词: Schrodinger semigroups;   

DOI  :  10.1016/j.jmaa.2005.05.002

来源: Elsevier

【 摘 要 】

The objective of this note is to give an estimate for a positive perturbed semigroup in terms of the free one. Here we consider perturbation by a potential and the estimate is given by a pointwise Holder inequality. As a consequence it is shown that ultracontractivity and Gaussian upper bounds are preserved by such perturbations. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

Free