Type of Publication: | Working Paper/Technical Report |
Publication status: | Published |
URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-0-325845 |
Author: | Denk, Robert; Shibata, Yoshihiro |
Year of publication: | 2016 |
Series: | Konstanzer Schriften in Mathematik ; 352 |
Summary: |
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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MSC Classification: | 35K35; 35J40; 42B15 |
Subject (DDC): | 510 Mathematics |
Keywords: | Thermoelastic plate equations; generation of analytic semigroups; maximal Lp-Lq-regularity; R-bounded solution operator, operator-valued Fourier multipliers |
Link to License: | In Copyright |
Bibliography of Konstanz: | Yes |
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} }
Denk_0-325845.pdf | 303 |