Improved polynomial decay for unbounded semigroups
Functional Analysis
2026-05-20 v2 Analysis of PDEs
Abstract
We obtain polynomial decay rates for -semigroups, assuming that the resolvent grows polynomially at infinity in the complex right half-plane. Our results do not require the semigroup to be uniformly bounded, and for unbounded semigroups we improve upon previous results by, for example, removing a logarithmic loss on non-Hilbertian Banach spaces.
Cite
@article{arxiv.2407.09323,
title = {Improved polynomial decay for unbounded semigroups},
author = {Chenxi Deng and Jan Rozendaal and Mark Veraar},
journal= {arXiv preprint arXiv:2407.09323},
year = {2026}
}
Comments
accepted for publication in Journal of Evolution Equations