Stability of inverse boundary value problem for the fourth-order Schrödinger equation (2512.18212v1)

Published 20 Dec 2025 in math.AP

Abstract: This paper is concerned with the stability of the inverse boundary value problem for the perturbed fourth-order Schrödinger 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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