マス・フォア・インダストリ研究所

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


開催時期 2019-04-02 16:00~2019-04-02 17:00

場所 九州大学 伊都キャンパス ウエスト1号館 中セミナー室 W1-D-610

受講対象  

講師 Robert Denk (University of Konstanz)

講演要旨:
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).