Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-02T21:42:22.494Z Has data issue: false hasContentIssue false
  • English
  • Français

The inverse nodal problem and the Ambarzumyan problem for the p-Laplacian

Published online by Cambridge University Press:  04 November 2009

C. K. Law ,
Wei-Cheng Lian  and
Wei-Chuan Wang
C. K. Law
Affiliation:
Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 804, Taiwan, and National Center for Theoretical Sciences, Taiwan, ([email protected])
Wei-Cheng Lian
Affiliation:
Department of Information Management, National Kaohsiung Marine University, Kaohsiung 811, Taiwan, ([email protected])
Wei-Chuan Wang
Affiliation:
Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 804, Taiwan, and National Center for Theoretical Sciences, Taiwan, ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We study the issues of the reconstruction and stability of the inverse nodal problem for the one-dimensional p-Laplacian eigenvalue problem. A key step is the application of a modified Prüfer substitution to derive a detailed asymptotic expansion for the eigenvalues and nodal lengths. Two associated Ambarzumyan problems are also solved.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 6 , December 2009 , pp. 1261 - 1273
Copyright
Copyright © Royal Society of Edinburgh 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)