linearized inverse problem for biharmonic operators at high frequencies
Analysis of PDEs
2022-11-08 v1
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.
Cite
@article{arxiv.2211.02851,
title = {linearized inverse problem for biharmonic operators at high frequencies},
author = {Xiaomeng Zhao and Ganghua Yuan},
journal= {arXiv preprint arXiv:2211.02851},
year = {2022}
}
Comments
18 pages. arXiv admin note: text overlap with arXiv:1812.05011 by other authors