Generation of semigroups for the thermoelastic plate equation with free boundary conditions

Robert Denk, Yoshihiro Shibata

研究成果: Article

抄録

We consider the linear thermoelastic plate equations with free boundary conditions in uniform C4-domains, which includes the half-space, bounded and exterior domains. We show that the corresponding operator generates an analytic semigroup in Lp-spaces for all p∈(1,∞) and has maximal Lq-Lp-regularity on finite time intervals. On bounded C4 -domains, we obtain exponential stability.

本文言語English
ページ(範囲)301-313
ページ数13
ジャーナルEvolution Equations and Control Theory
8
2
DOI
出版ステータスPublished - 2019 6 1

ASJC Scopus subject areas

  • Modelling and Simulation
  • Control and Optimization
  • Applied Mathematics

フィンガープリント 「Generation of semigroups for the thermoelastic plate equation with free boundary conditions」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル