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.
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Project supported by the National Natural Science Foundation of China (Nos. 10831007, 60821091, 60974035).
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Li, D. Observability inequality for the Kirchhoff-Rayleigh plate like equation in a short time. Chin. Ann. Math. Ser. B 31, 529–540 (2010). https://doi.org/10.1007/s11401-010-0587-2
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DOI: https://doi.org/10.1007/s11401-010-0587-2
Keywords
- Kirchhoff-Rayleigh plate like equation
- Finite speed of propagation
- Observability inequality in a short time