$L^p$-theory for linear plate equations: maximal regularity and generation of semigroups

Datum

15.11.2017

Zeit

17:00 - 18:00

Sprecher

Prof. Dr. Robert Denk

Zugehörigkeit

Universität Konstanz

Serie

TUD Dresdner Mathematisches Seminar

Sprache

en

Hauptthema

Mathematik

Andere Themen

Mathematik

Host

Prof. Dr. Ralph Chill

Beschreibung

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).

Letztmalig verändert: 28.09.2017, 10:56:25