具有双广义Regge边界条件的Schrödinger算子的正逆谱问题

IF 0.9 3区数学 Q2 MATHEMATICS

Bulletin of the London Mathematical Society Pub Date : 2025-04-02 DOI:10.1112/blms.70054

Xiao-Chuan Xu, Yu-Ting Huang

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引用次数: 0

摘要

本文研究了具有两个广义Regge边界条件的Schrödinger算子的正逆谱问题。对于直接问题，我们给出了谱的性质，包括特征值的渐近分布。对于逆问题，我们证明了几个唯一性定理，包括偶势、双谱以及一般偏逆问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Direct and inverse spectral problems for the Schrödinger operator with double generalized Regge boundary conditions

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Direct and inverse spectral problems for the Schrödinger operator with double generalized Regge boundary conditions

In this paper, we study the direct and inverse spectral problems for the Schrödinger operator with two generalized Regge boundary conditions. For the direct problem, we give the properties of the spectrum, including the asymptotic distribution of the eigenvalues. For the inverse problems, we prove several uniqueness theorems, including the cases: even potential, two-spectra, as well as the general partial inverse problem.

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