The inverse nodal problem on the smoothness of the potential function

被引：57

作者：

Law, CK ^{[1
]}

Shen, CL

Yang, CF

机构：

[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan

[2] Natl Tsing Hua Univ, Dept Math, Hsinchu 30043, Taiwan

来源：

INVERSE PROBLEMS | 1999年 / 15卷 / 01期

关键词：

D O I：

10.1088/0266-5611/15/1/024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We solve the inverse nodal problem of determining the smoothness of the potential function q of the Sturm-Liouville problem using only nodal data. We also give a simple and direct reconstruction formula for any q epsilon L-1(0, 1) that improves an earlier result of Yang.

引用

页码：253 / 263

页数：11

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