Spectral asymptotics and a trace formula for a fourth-order differential operator corresponding to thin film equation

被引：4

作者：

Polyakov, Dmitry M. ^{[1
]}

机构：

[1] RAS, Vladikavkaz Sci Ctr, Southern Math Inst, 53 Vatutin Str, Vladikavkaz 362025, Russia

来源：

MONATSHEFTE FUR MATHEMATIK | 2023年 / 202卷 / 01期

关键词：

Spectrum; Eigenvalue asymptotics; Trace formula; Fourth-order differential operator; Thin film equation; INVERSE EIGENVALUE PROBLEM; DISTANT PERTURBATIONS; STABILITY;

D O I：

10.1007/s00605-022-01808-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a self-adjoint fourth-order operator with real 1-periodic coefficients on the unit interval and the Neumann-Dirichlet boundary conditions. The spectrum of this operator is discrete. We determine the high energy asymptotics for the eigenvalues and a trace formula for this operator.

引用

页码：171 / 212

页数：42

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