Maximal regularity for the thermoelastic plate equations with free boundary conditions
Maximal regularity for the thermoelastic plate equations with free boundary conditions
Date
2016
Authors
Shibata, Yoshihiro
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Konstanzer Schriften in Mathematik; 352
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Abstract
We consider the linear thermoelastic plate equations with free boundary conditions in the Lp in time and Lq in space setting. We obtain unique solvability with optimal regularity for the inhomogeneous problem in a uniform C4-domain, which includes the cases of a bounded domain and of an exterior domain with C4-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.
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510 Mathematics
Keywords
Thermoelastic plate equations; generation of analytic semigroups; maximal Lp-Lq-regularity; R-bounded solution operator, operator-valued Fourier multipliers
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DENK, Robert, Yoshihiro SHIBATA, 2016. Maximal regularity for the thermoelastic plate equations with free boundary conditionsBibTex
@techreport{Denk2016Maxim-33539, year={2016}, series={Konstanzer Schriften in Mathematik}, title={Maximal regularity for the thermoelastic plate equations with free boundary conditions}, number={352}, author={Denk, Robert and Shibata, Yoshihiro} }
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