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| Observability Inequality for the Kirchhoff-Rayleigh Plate Like Equation in a Short Time |
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Citation： |
Dongli LI.Observability Inequality for the Kirchhoff-Rayleigh Plate Like Equation in a Short Time[J].Chinese Annals of Mathematics B,2010,31(4):529~540 |
| Page view： 1740
Net amount： 1249 |
Authors： |
Dongli LI; |
Foundation： |
the National Natural Science Foundation of China (Nos. 10831007, 60821091,
60974035). |
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| Abstract： |
In this paper, for any given observation time and suitable moving observation
domains, the author establishes a sharp observability inequality for the Kirchhoff-Rayleigh
plate like equation with a suitable potential in any space dimension. The approach is based
on a delicate energy estimate. Moreover, the observability constant is estimated by means
of an explicit function of the norm of the coefficient involved in the equation. |
Keywords： |
Kirchhoff-Rayleigh plate like equation, Finite speed of propagation,
Observability inequality in a short time |
Classification： |
93B07, 93B05 |
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