Electron. J. Differential Equations, Vol. 2016 (2016), No. 333, pp. 1-13.

Global Carleman estimate for the plate equation and applications to inverse problems

Peng Gao

In this article, we establish a Carleman estimate for the plate equation in order to solve an inverse problem retrieving the zeroth-order term for a plate equation from boundary measurements. We prove the local stability result for this inverse problem. Our proof relies on Carleman estimate.

Submitted November 12, 2016. Published December 28, 2016.
Math Subject Classifications: 35R30, 35G15.
Key Words: Carleman estimate; plate equation; inverse problem.

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Peng Gao
School of Mathematics and Statistics
Northeast Normal University
Changchun 130024, China
email: gaopengjilindaxue@126.com

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