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arXiv · 2512.18212

Stability of inverse boundary value problem for the fourth-order Schr\"{o}dinger equation

Yang Liu·Yixian Gao
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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.

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Yang Liu, Yixian Gao. 2025-12-20. Stability of inverse boundary value problem for the fourth-order Schr\"{o}dinger equation. https://arxiv.org/abs/2512.18212

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