On shape preserving semigroups
Functional Analysis
2012-01-25 v2
Abstract
Motivated by positivity-, monotonicity-, and convexity preserving differential equations, we introduce a definition of shape preserving operator semigroups and analyze their fundamental properties. In particular, we prove that the class of shape preserving semigroups is preserved by perturbations and taking limits. These results are applied to partial delay differential equations.
Cite
@article{arxiv.1107.5075,
title = {On shape preserving semigroups},
author = {András Bátkai and Adam Bobrowski},
journal= {arXiv preprint arXiv:1107.5075},
year = {2012}
}
Comments
referees comments incorporated. To appear in Archiv der Mathematik (Basel)