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arXiv · 1905.09757

Inverse Scattering and Stability Estimates for The Biharmonic Operator

Siamak RabieniaHaratbar
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Abstract

We study an inverse scattering problem of a perturbed biharmonic operator. we show that the high-frequency asymptotic of scattering amplitude of the biharmonic operator uniquely determine the curl A and {V -1/2 nablaA}. We also study the near-field scattering problem and show that the high-frequency asymptotic expansion up to a certain error in terms of frequency lambda recovers the same two above quantities with no additional information about A and V. We also prove stability estimates for curl A and {V -1/2 nablaA}.

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Siamak RabieniaHaratbar. 2019-05-23. Inverse Scattering and Stability Estimates for The Biharmonic Operator. https://arxiv.org/abs/1905.09757

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