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Uniform Stabilizability of Nonlinearly Coupled Kirchhoff Plate Equations

  • Mary Ann Horn
  • Irena Lasiecka
Conference paper
Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 118)

Abstract

A system of two Kirchhoff plate equations with nonlinear coupling through both the boundary and the interior is considered. For this problem, it is proven that by appropriately choosing feedback controls, the energy of the system decays at a uniform rate. This result extends previous results in a number of directions: (i) it does not require any geometric hypotheses to be imposed on the domain; (ii) it allows for the presence of nonlinear coupling terms; (iii) it does not require the control functions to satisfy any growth conditions at the origin.

1991 Mathematics Subject Classification

35 93 

Key words and phrases

Uniform stabilization boundary feedback coupled plates Kirchhoff plate 

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Copyright information

© Springer Basel AG 1994

Authors and Affiliations

  • Mary Ann Horn
    • 1
  • Irena Lasiecka
    • 2
  1. 1.School of MathematicsUniversity of MinnesotaMinneapolisUSA
  2. 2.Department of Applied MathematicsUniversity of VirginiaCharlottesvilleUSA

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