正则 Sturm-Liouville 算子的定位和景观函数

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED Communications in Mathematical Sciences Pub Date : 2024-07-18 DOI:10.4310/cms.2024.v22.n6.a12

Mirza Karamehmedović, Faouzi Triki

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引用次数: 0

摘要

我们考虑了正则 Sturm-Liouville 算子特征函数的局部化问题。在推导出特征函数局部化系数的非渐近和渐近下限和上限之后，我们用第一特征函数描述了景观函数的特征。我们提供了几个数值实验来说明所获得的理论结果。

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Localization and the landscape function for regular Sturm-Liouville operators

We consider the localization in the eigenfunctions of regular Sturm-Liouville operators. After deriving non-asymptotic and asymptotic lower and upper bounds on the localization coefficient of the eigenfunctions, we characterize the landscape function in terms of the first eigenfunction. Several numerical experiments are provided to illustrate the obtained theoretical results.

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来源期刊

Communications in Mathematical Sciences 数学-应用数学

CiteScore

1.70

自引率

10.00%

发文量

审稿时长

6 months

期刊介绍： Covers modern applied mathematics in the fields of modeling, applied and stochastic analyses and numerical computations—on problems that arise in physical, biological, engineering, and financial applications. The journal publishes high-quality, original research articles, reviews, and expository papers.