A note on perturbations of $C_0$-semigroups
Functional Analysis
2018-02-02 v1 Analysis of PDEs
Abstract
This article deals with a variation of constants type inequality for semigroups acting consistently on a scale of Banach spaces. This inequality can be characterized by a corresponding (easy to verify) inequality for their generators. The results have applications to heat kernel estimates and provide a unified perspective to estimates of these type. Moreover, bi-continuous semigroups can be treated as well.
Cite
@article{arxiv.1802.00335,
title = {A note on perturbations of $C_0$-semigroups},
author = {Christian Seifert and Hendrik Vogt and Marcus Waurick},
journal= {arXiv preprint arXiv:1802.00335},
year = {2018}
}
Comments
17 pages