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Stability of Inverse Boundary Value Problem for the Fourth-Order Schrödinger Equation

delete2026-04-01
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PRE
AI
L
Liu, Yang
Y
Yixian Gao *
DOI:10.1002/mma.70721delete
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Abstract

Abstract

En 中文
This paper is concerned with the stability of the inverse boundary value problem for the perturbed fourth-order Schr & ouml;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:
Cauchy data
complex geometric optics solution
perturbed fourth-order Schr & ouml
dinger equation
stability

Journal

M
Mathematical Methods in the Applied Sciences
IF:
1.8
Papers:
605
Citations:
0

Organization

N
northeast normal university - china
Scholars:
1.2W
Papers: 9.1K
Citations: 23
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