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.

元の言語English
ページ(範囲)301-313
ページ数13
ジャーナルEvolution Equations and Control Theory
8
発行部数2
DOI
出版物ステータスPublished - 2019 6 1

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Plate Equation
Thermoelastic
Asymptotic stability
Free Boundary
Semigroup
Boundary conditions
Analytic Semigroup
Exterior Domain
Lp Spaces
Exponential Stability
Half-space
Bounded Domain
Regularity
Interval
Operator

ASJC Scopus subject areas

  • Modelling and Simulation
  • Control and Optimization
  • Applied Mathematics

これを引用

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