The first eigenvalue of one-dimensional elliptic operators with killing

被引：0

作者：

Dai, Kang ^{[1
]}

Sun, Xiaobin ^{[2
]}

Wang, Jian ^{[3
,4
,5
]}

Xie, Yingchao ^{[2
]}

机构：

[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Peoples R China

[2] Jiangsu Normal Univ, Res Inst Math Sci, Xuzhou, Peoples R China

[3] Fujian Normal Univ, Sch Math & Stat, Fuzhou, Peoples R China

[4] Fujian Normal Univ, Key Lab Analyt Math & Applicat, Minist Educ, Fuzhou, Peoples R China

[5] Fujian Normal Univ, Fujian Prov Key Lab Stat & Artificial Intelligence, Fuzhou, Peoples R China

来源：

MATHEMATISCHE NACHRICHTEN | 2025年 / 298卷 / 01期

基金：

国家重点研发计划; 中国国家自然科学基金;

关键词：

approximation procedure; elliptic operator with killing; the first eigenvalue; & planckh; -transform; SPECTRAL GAP;

D O I：

10.1002/mana.202400331

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the first eigenvalue for one-dimensional elliptic operators with killing. Two-sided approximation procedures and basic estimates of the first eigenvalue are given in both the half line and the whole line. The proofs are based on the h-transform, Chen's dual variational formulas, and the split technique. In particular, a few examples are presented to illustrate the power of our results.

引用

页码：282 / 311

页数：30

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