On some nonlinear problem for the thermoplate equations

Suma Inna, Hirokazu Saito, Yoshihiro Shibata

研究成果: Article査読

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.

本文言語English
ページ(範囲)755-784
ページ数30
ジャーナルEvolution Equations and Control Theory
8
4
DOI
出版ステータスPublished - 2019 12 1

ASJC Scopus subject areas

  • Modelling and Simulation
  • Control and Optimization
  • Applied Mathematics

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