Lack of differentiability of semigroups associated to delayed abstract thermoelastic systems
Analysis of PDEs
2024-06-27 v2
Abstract
In this paper, we consider the associated semigroups to some abstract thermoelastic systems (in particular the {\alpha}-\b{eta} system), with a partial delay on the coupled system. We will prove that the corresponding semigroups (in appropriate Hilbert spaces) are not differentiable.
Keywords
Cite
@article{arxiv.2405.10000,
title = {Lack of differentiability of semigroups associated to delayed abstract thermoelastic systems},
author = {Kaïs Ammari and Makrem Salhi and Farhat Shel},
journal= {arXiv preprint arXiv:2405.10000},
year = {2024}
}