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<p>This paper deals with initial-boundary value problems for a thin quasilinear plate equation. It is shown the global existence of weak and strong solutions, that the energy of the weak solution has an exponential decay rate, and the strong solution is uniformly stable (i.e., the solution’s behaviour changes continuously with the data) and consequently it is unique.</p>

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Kirchhoff-type thin plates with mixed boundary conditions

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月5日

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  • H. R. Clark,
  • C. N. Cunha,
  • A. T. Lourêdo,
  • M. Milla-Miranda

摘要

This paper deals with initial-boundary value problems for a thin quasilinear plate equation. It is shown the global existence of weak and strong solutions, that the energy of the weak solution has an exponential decay rate, and the strong solution is uniformly stable (i.e., the solution’s behaviour changes continuously with the data) and consequently it is unique.