Spectral analysis of a differential operator with an involution

被引：28

作者：

Baskakov, Anatoly G. ^{[1
]}

Krishtal, Ilya A. ^{[2
]}

Romanova, Elena Yu. ^{[1
]}

机构：

[1] Voronezh State Univ, Dept Appl Math & Mech, Voronezh 394693, Russia

[2] Northern Illinois Univ, Dept Math Sci, De Kalb, IL 60115 USA

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2017年 / 17卷 / 02期

基金：

美国国家科学基金会;

关键词：

Spectral asymptotic analysis; Method of similar operators; PERTURBATION;

D O I：

10.1007/s00028-016-0332-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use the method of similar operators to perform the asymptotic analysis of the spectrum of a differential operator with an involution. We show that such operators have compact resolvent, and that their large eigenvalues are determined by the values of (the Fourier coefficients) of their potential up to a summable sequence.

引用

页码：669 / 684

页数：16

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