Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Exponential stability of the Kirchhoff plate with thermal or viscoelastic damping


Authors: Zhuangyi Liu and Songmu Zheng
Journal: Quart. Appl. Math. 55 (1997), 551-564
MSC: Primary 73H10; Secondary 35Q72, 73B30, 73F15, 73K10, 73K50
DOI: https://doi.org/10.1090/qam/1466148
MathSciNet review: MR1466148
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Abstract: The exponential stability of the semigroup associated with the Kirchhoff plate with thermal or viscoelastic damping and various boundary conditions is proved. This improves the corresponding results by Lagnese by showing that the semigroup is still exponentially stable even without feedback control on the boundary. The proof is essentially based on PDE techniques and the method is remarkable in the sense that it also throws light on applications to other higher-dimensional problems.


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DOI: https://doi.org/10.1090/qam/1466148
Article copyright: © Copyright 1997 American Mathematical Society


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