Stability of inverse boundary value problem for the fourth-order Schr\"{o}dinger equation
Analysis of PDEs
2025-12-23 v1
Abstract
This paper is concerned with the stability of the inverse boundary value problem for the perturbed fourth-order Schr\"{o}dinger equation in a bounded domain with Cauchy data. We establish stability results for the perturbed potential relying on boundary measurements. The estimates depend on various a priori information regarding the regularity and the support of the inhomogeneity. The proof primarily utilizes the complex geometric optics solution method and Fourier analysis.
Keywords
Cite
@article{arxiv.2512.18212,
title = {Stability of inverse boundary value problem for the fourth-order Schr\"{o}dinger equation},
author = {Yang Liu and Yixian Gao},
journal= {arXiv preprint arXiv:2512.18212},
year = {2025}
}
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16 pages