$L^p$-theory for linear plate equations: maximal regularity and generation of semigroups
- Date
- Nov 15, 2017
- Time
- 5:00 PM - 6:00 PM
- Speaker
- Prof. Dr. Robert Denk
- Affiliation
- Universität Konstanz
- Series
- TUD Dresdner Mathematisches Seminar
- Language
- en
- Main Topic
- Mathematik
- Other Topics
- Mathematik
- Host
- Prof. Dr. Ralph Chill
- Description
- We consider the linear thermoelastic plate equation with free boundary conditions. It can be shown that this equation in sufficiently smooth domains is uniquely solvable in $L^p$-Sobolev spaces (i.e., it has maximal regularity) and that the associated first-order system generates and analytic semigroup. The proof is based on careful symbol estimates for the solution operators. We also discuss the situation for structurally damped plate equations and partial damping. The talk is based on joint results with Yoshihiro Shibata (Tokyo), Roland Schnaubelt (Karlsruhe), and Felix Kammerlander (Konstanz).
Last modified: Sep 28, 2017, 10:56:25 AM
Location
TUD Willers-Bau (WIL C 307)Zellescher Weg12-1401069Dresden
- Homepage
- https://navigator.tu-dresden.de/etplan/wil/00
Organizer
TUD MathematikWillersbau, Zellescher Weg12-1401069Dresden
- Phone
- 49-351-463 33376
- Homepage
- http://tu-dresden.de/mathematik
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