Observability inequality for the Kirchhoff-Rayleigh plate like equation in a short time

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

References

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