linearized inverse problem for biharmonic operators at high frequencies

Xiaomeng Zhao; Ganghua Yuan

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arXiv · 2211.02851

linearized inverse problem for biharmonic operators at high frequencies

Xiaomeng Zhao·Ganghua Yuan

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Abstract

In this paper, we study the phenomenon of increasing stability in the inverse boundary value problems for the biharmonic equation. By considering a linearized form, we obtain an increasing Lipschitz-like stability when k is large. Furthermore, we extend the discussion to the linearized inverse biharmonic potential problem with attenuation, where an exponential dependence of the attenuation constant is traced in the stability estimate.

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Xiaomeng Zhao, Ganghua Yuan. 2022-11-05. linearized inverse problem for biharmonic operators at high frequencies. https://arxiv.org/abs/2211.02851

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