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：
中国国家自然科学基金; 国家重点研发计划;
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.
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页码：282 / 311
页数：30
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