Trace formulas for fourth order operators on unit interval, II

被引：10

作者：

Badanin, Audrey ^{[1
]}

Korotyaev, Evgeny ^{[1
]}

机构：

[1] St Petersburg State Univ, Fac Phys, Dept Math Phys, St Petersburg 198904, Russia

来源：

DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS | 2015年 / 12卷 / 03期

基金：

俄罗斯科学基金会;

关键词：

fourth order operator; trace formula; eigenvalue asymptotics; DIFFERENTIAL-OPERATORS; INVERSE PROBLEM; EIGENVALUE; ASYMPTOTICS; SPECTRUM; PERTURBATIONS;

D O I：

10.4310/DPDE.2015.v12.n3.a2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider self-adjoint fourth order operators on the unit interval with the Dirichlet type boundary conditions. For such operators we determine few trace formulas, similar to the case of Gelfand Levitan formulas for second order operators.

引用

页码：217 / 239

页数：23

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