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A sharp observability inequality for Kirchhoffplate systems with potentials

In this paper, we derive a sharp observability inequality for Kirchhoff plate equations with lower order terms. More precisely, for any T > 0 and suitable boundary observation domains (satisfying the geometric conditions that the multiplier method imposes), we prove an estimate with an explicit observability constant for Kirchhoff plate systems with an arbitrary finite number of components and in any space dimension with lower order bounded potentials.

Kirchhoff plate system; observability constant; Carleman inequalities; potential; Meshkov's construction


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