Lack of differentiability of semigroups associated to delayed abstract thermoelastic systems

Fuente: arXiv
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Hauptverfasser: Ammari, Kaïs, Salhi, Makrem, Shel, Farhat
Format: Preprint
Veröffentlicht: 2024
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author Ammari, Kaïs
Salhi, Makrem
Shel, Farhat
author_facet Ammari, Kaïs
Salhi, Makrem
Shel, Farhat
contents In this paper, we consider the associated semigroups to some abstract thermoelastic systems (in particular the α-\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.
format Preprint
id arxiv_https___arxiv_org_abs_2405_10000
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Lack of differentiability of semigroups associated to delayed abstract thermoelastic systems
Ammari, Kaïs
Salhi, Makrem
Shel, Farhat
Analysis of PDEs
In this paper, we consider the associated semigroups to some abstract thermoelastic systems (in particular the α-\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.
title Lack of differentiability of semigroups associated to delayed abstract thermoelastic systems
topic Analysis of PDEs
url https://arxiv.org/abs/2405.10000