从内部光谱数据确定一维Schrödinger算子

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-08-27 DOI:10.1016/j.jmaa.2025.130013

Tiezheng Li

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引用次数: 0

摘要

研究有限区间上一维Schrödinger算子的逆问题。我们证明了整个区间的势和边界条件是基于势的部分信息、两个部分已知的谱和内部谱数据唯一确定的。此外，我们还讨论了势在局部平滑的情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Determination of the one-dimensional Schrödinger operator from interior spectral data

The inverse problems for the one-dimensional Schrödinger operator on a finite interval are considered. We demonstrated that the potential across the entire interval and the boundary conditions are uniquely determined based on partial information about the potential, two partially known spectra, and interior spectral data. Furthermore, we also address the case in which the potential is locally smooth.

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.