Sharp eigenvalue asymptotics of fourth-order differential operators-Reference-Cited by-同舟云学术

Sharp eigenvalue asymptotics of fourth-order differential operators

Published:2022-11-09 Issue:3-4 Volume:130 Page:477-503
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Polyakov Dmitry M.¹

Affiliation:

1. Department of Mathematical Analysis, Southern Mathematical Institute, Vladikavkaz Scientific Center RAS, Markus 22, 362027, Vladikavkaz, Russian Federation

Abstract

Two-term self-adjoint fourth-order differential operator with summable potential on the unit interval is considered. High energy eigenvalue asymptotics and the trace formula for this operator are obtained.

Publisher

IOS Press

Subject

General Mathematics

Reference31 articles.

1. Asymptotics of the spectrum of nonsmooth perturbations of differential operators of order 2 m;Akhmerova;Math. Notes.,2011

2. Spectral asymptotics for periodic fourth-order operator;Badanin;Int. Math. Res. Not.,2005

3. Spectral estimates for periodic fourth order operators;Badanin;St. Petersburg Math. J.,2011

4. Even order periodic operator on the real line;Badanin;Int. Math. Res. Not.,2012

5. Trace formula for fourth order operators on the circle;Badanin;DPDE.,2013

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Asymptotics of the eigenvalues of a two-term fourth-order operator with boundary conditions dependent on the spectral parameter;Boletín de la Sociedad Matemática Mexicana;2024-03-07

2. Second regularized trace of a differential operator of Sturm–Liouville type;Mathematical Methods in the Applied Sciences;2024-01-04

3. Spectral Data Asymptotics for Fourth-Order Boundary Value Problems;The Bulletin of Irkutsk State University. Series Mathematics;2024

4. Eigenvalue Asymptotics and a Trace Formula for a Fourth-Order Differential Operator;Complex Analysis and Operator Theory;2023-10-09

5. The Spectral Properties of a Two-Term Fourth-Order Operator with a Spectral Parameter in the Boundary Condition;Siberian Mathematical Journal;2023-05