Lipschitz stability in inverse problems for a Kirchhoff plate equation

Abstract

In this paper, we prove a Carleman estimate for a Kirchhoff plate equation and apply the Carleman estimate to inverse problems of determining spatially varying two Lamé coefficients and the mass density by a finite number of boundary observations. Our main results are Lipschitz stability estimates for the inverse problems under suitable conditions of initial values and boundary val-

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Cite this paper

@article{Yuan2007LipschitzSI, title={Lipschitz stability in inverse problems for a Kirchhoff plate equation}, author={Ganghua Yuan and Masahiro Yamamoto}, journal={Asymptotic Analysis}, year={2007}, volume={53}, pages={29-60} }