Inverse Scattering and Stability Estimates for The Biharmonic Operator
Analysis of PDEs
2019-11-21 v3
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}.
Cite
@article{arxiv.1905.09757,
title = {Inverse Scattering and Stability Estimates for The Biharmonic Operator},
author = {Siamak RabieniaHaratbar},
journal= {arXiv preprint arXiv:1905.09757},
year = {2019}
}