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arXiv · 1806.10401

Generation of semigroups for the thermoelastic plate equation with free boundary conditions

Robert Denk·Yoshihiro Shibata
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Abstract

We consider the linear thermoelastic plate equations with free boundary conditions in uniform $C^4$-domains, which includes the half-space, bounded and exterior domains. We show that the corresponding operator generates an analytic semigroup in $L^p$-spaces for all $p\in(1,\infty)$ and has maximal $L^q$-$L^p$-regularity on finite time intervals. On bounded $C^4$-domains, we obtain exponential stability.

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Robert Denk, Yoshihiro Shibata. 2018-06-27. Generation of semigroups for the thermoelastic plate equation with free boundary conditions. https://arxiv.org/abs/1806.10401

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