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 | References | Similar Articles | Additional Information

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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Additional Information

DOI:
https://doi.org/10.1090/qam/1466148

Article copyright:
© Copyright 1997
American Mathematical Society