Scholarlink

Abstract <p> The paper proves the uniform stability of the Hochstadt–Lieberman problem which consists in recovering the potential of the Sturm–Liouville operator on half the interval from the spectrum and the known potential on the other half of the interval. The proof method is based on the uniform stability of the direct and inverse Sturm–Liouville problems, of recovering a sine-type function from its zeros, and on the uniform boundedness of Riesz bases of sines and cosines. </p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Uniform Stability of the Hochstadt–Lieberman Problem

  • 期刊论文

  • 发表日期：

    2025年4月1日

查看全文
  • N. P. Bondarenko

摘要

Abstract

The paper proves the uniform stability of the Hochstadt–Lieberman problem which consists in recovering the potential of the Sturm–Liouville operator on half the interval from the spectrum and the known potential on the other half of the interval. The proof method is based on the uniform stability of the direct and inverse Sturm–Liouville problems, of recovering a sine-type function from its zeros, and on the uniform boundedness of Riesz bases of sines and cosines.