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

Robert Denk, Yoshihiro Shibata

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)301-313
Number of pages13
JournalEvolution Equations and Control Theory
Volume8
Issue number2
DOIs
Publication statusPublished - 2019 Jun 1

Keywords

  • Generation of analytic semigroups
  • Operator-valued fourier multipliers
  • Thermoelastic plate equations

ASJC Scopus subject areas

  • Modelling and Simulation
  • Control and Optimization
  • Applied Mathematics

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