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arXiv · 2405.10000

Lack of differentiability of semigroups associated to delayed abstract thermoelastic systems

Kaïs Ammari·Makrem Salhi·Farhat Shel
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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.

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Kaïs Ammari, Makrem Salhi, Farhat Shel. 2024-05-16. Lack of differentiability of semigroups associated to delayed abstract thermoelastic systems. https://arxiv.org/abs/2405.10000

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