Scholarlink

<p>Inverse problems for the Sturm-Liouville operator, with the potential known on an interior subinterval, are considered. We demonstrate that the potential over the entire interval and the boundary conditions are uniquely determined by the potential on an interior subinterval containing the midpoint, a finite number of partially known spectra, and a finite amount of partially interior spectral data. Furthermore, we address the problem of missing data in mixed spectral data when the potential is locally smooth.</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

Inverse problem for interior spectral data of the Sturm-Liouville operator with a potential locally smooth

  • 期刊论文

  • 发表日期：

    2026年2月2日

查看全文
  • Tiezheng Li

摘要

Inverse problems for the Sturm-Liouville operator, with the potential known on an interior subinterval, are considered. We demonstrate that the potential over the entire interval and the boundary conditions are uniquely determined by the potential on an interior subinterval containing the midpoint, a finite number of partially known spectra, and a finite amount of partially interior spectral data. Furthermore, we address the problem of missing data in mixed spectral data when the potential is locally smooth.