On some nonlinear problem for the thermoplate equations

Suma Inna, Hirokazu Saito, Yoshihiro Shibata

研究成果: Article

抄録

In this paper, we prove the local and global well-posedness of some nonlinear thermoelastic plate equations with Dirichlet boundary conditions. The main tool for proving the local well-posedness is the maximal Lp-Lq regularity theorem for the linearized equations, and the main tool for proving the global well-posedness is the exponential stability of C0 analytic semigroup associated with linear thermoelastic plate equations with Dirichlet boundary conditions.

元の言語English
ページ(範囲)755-784
ページ数30
ジャーナルEvolution Equations and Control Theory
8
発行部数4
DOI
出版物ステータスPublished - 2019 12 1

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Plate Equation
Global Well-posedness
Thermoelastic
Dirichlet Boundary Conditions
Nonlinear Problem
Boundary conditions
Analytic Semigroup
Local Well-posedness
Exponential Stability
Asymptotic stability
Regularity
Theorem

ASJC Scopus subject areas

  • Modelling and Simulation
  • Control and Optimization
  • Applied Mathematics

これを引用

On some nonlinear problem for the thermoplate equations. / Inna, Suma; Saito, Hirokazu; Shibata, Yoshihiro.

:: Evolution Equations and Control Theory, 巻 8, 番号 4, 01.12.2019, p. 755-784.

研究成果: Article

Inna, Suma ; Saito, Hirokazu ; Shibata, Yoshihiro. / On some nonlinear problem for the thermoplate equations. :: Evolution Equations and Control Theory. 2019 ; 巻 8, 番号 4. pp. 755-784.
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