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Maximal regularity for the thermoelastic plate equations with free boundary conditions

Maximal regularity for the thermoelastic plate equations with free boundary conditions

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DENK, Robert, Yoshihiro SHIBATA, 2016. Maximal regularity for the thermoelastic plate equations with free boundary conditions

@techreport{Denk2016Maxim-33539, series={Konstanzer Schriften in Mathematik}, title={Maximal regularity for the thermoelastic plate equations with free boundary conditions}, year={2016}, number={352}, author={Denk, Robert and Shibata, Yoshihiro} }

terms-of-use eng We consider the linear thermoelastic plate equations with free boundary conditions in the L<sub>p</sub> in time and L<sub>q</sub> in space setting. We obtain unique solvability with optimal regularity for the inhomogeneous problem in a uniform C<sup>4</sup>-domain, which includes the cases of a bounded domain and of an exterior domain with C<sup>4</sup>-boundary. Moreover, we prove uniform a priori-estimates for the solution. The proof is based on the existence of R-bounded solution operators of the corresponding generalized resolvent problem which is shown with the help of an operator-valued Fourier multiplier theorem due to Weis. Shibata, Yoshihiro Denk, Robert 2016-04-01T11:18:27Z Denk, Robert Shibata, Yoshihiro 2016 Maximal regularity for the thermoelastic plate equations with free boundary conditions 2016-04-01T11:18:27Z

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