Eigenvalue asymptotics for Sturm-Liouville operators with singular potentials

被引：26

作者：

Hryniv, R. O.

Mykytyuk, Y. V.

机构：

[1] Inst Appl Problems Mech & Math, UA-79601 Lvov, Ukraine

[2] Lviv Natl Univ, UA-79602 Lvov, Ukraine

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2006年 / 238卷 / 01期

关键词：

eigenvalue asymptotics; Sturm-Liouville operators; singular potentials;

D O I：

10.1016/j.jfa.2006.04.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive eigenvalue asymptotics for Sturm-Liouville operators with singular complex-valued potentials from the space W(2)(alpha-)1(0, 1), alpha is an element of [0, 1], and Dirichlet or Neumann-Dirichlet boundary conditions. We also give application of the obtained results to the inverse spectral problem of recovering the potential from these two spectra. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：27 / 57

页数：31

共 32 条

[1] On form-sum approximations of singularly perturbed positive self-adjoint operators [J].