Eigenvalue Asymptotics and a Trace Formula for a Fourth-Order Differential Operator

被引：0
作者：
Dmitry M. Polyakov
机构：
[1] Southern Mathematical Institute,
[2] Vladikavkaz Scientific Center of RAS,undefined
来源：
Complex Analysis and Operator Theory | 2023年 / 17卷
关键词：
Spectrum; Eigenvalue asymptotics; Trace formula; Fourth-order differential operator; 34L15; 34B09; 34E10;
D O I：
暂无
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学科分类号：
摘要：
We consider a self-adjoint fourth-order operator with real 1-periodic nonsmooth coefficients on the unit interval and the Neumann type boundary conditions. We determine eigenvalue asymptotics at high energy and a trace formula for this operator.
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