关于四阶二项式算子的Hochstadt-Lieberman定理

IF 0.5 4区数学 Q3 MATHEMATICS

Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-04-01 DOI:10.1063/5.0107145

Lu Chen, Guoliang Shi, Jun Yan

引用次数: 1

摘要

利用半区间[0,1 /2]上的已知势和整个区间[0,1]上的自伴随边界问题的特征值，提出了一种恢复半区间[1/2,1]上四阶二项式算子势的方法。

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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On the Hochstadt–Lieberman theorem for the fourth-order binomial operator

A method of recovering the potential of the fourth-order binomial operator on a half-interval [1/2, 1] using a known potential on another half-interval [0, 1/2] and the eigenvalues of the self-adjoint boundary problem on the whole interval [0, 1] is proposed.

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来源期刊

Journal of Mathematical Physics Analysis Geometry PHYSICS, MATHEMATICAL-

CiteScore

0.70

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Mathematical Physics, Analysis, Geometry (JMPAG) publishes original papers and reviews on the main subjects: mathematical problems of modern physics; complex analysis and its applications; asymptotic problems of differential equations; spectral theory including inverse problems and their applications; geometry in large and differential geometry; functional analysis, theory of representations, and operator algebras including ergodic theory. The Journal aims at a broad readership of actively involved in scientific research and/or teaching at all levels scientists.