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# Maximal regularity for the thermoelastic plate equations with free boundary conditions

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 L
_{p} in time and L_{q} in space setting. We obtain unique solvability with optimal regularity for the inhomogeneous problem in a uniform C^{4}-domain, which includes the cases of a bounded domain and of an exterior domain with C^{4}-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. |

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 |

Checksum:
MD5:80d5e70936546343714bd5a3b155c41c

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 | 269 |