On a criterion for log-convex decay in non-selfadjoint dynamics
Analysis of PDEs
2020-04-27 v2
Abstract
The short-time and global behaviour are studied for autonomous linear evolution equations defined by generators of uniformly bounded holomorphic semigroups in a Hilbert space. A general criterion for log-convexity in time of the norm of the solution is treated. Strict decrease and differentiability at the initial time results, with a derivative controlled by the lower bound of the negative generator, which is proved strictly accretive with equal numerical and spectral abscissas.
Cite
@article{arxiv.2001.08475,
title = {On a criterion for log-convex decay in non-selfadjoint dynamics},
author = {Jon Johnsen},
journal= {arXiv preprint arXiv:2001.08475},
year = {2020}
}
Comments
7 pages. Proceedings contribution, improving the main result of arXiv:1806.10870. Accepted