Inverse Problem For Dirichlet Boundary Value Problems

Alp Arslan Kıraç; Fatma Ylmaz

Inverse Problem For Dirichlet Boundary Value Problems

Spectral Theory 2021-10-07 v1 Mathematical Physics math.MP

Authors: Alp Arslan Kıraç , Fatma Ylmaz

Abstract

In this article we consider Sturm-Liouville operator with $q\in W_{1}^{2}[0,1]$ and Dirichlet boundary conditions. We prove that if the set $\{(n\pi)^{2}:n\in \mathbb{N}\}$ is a subset of the spectrum of the Sturm-Liouville operator with Dirichlet boundary conditions, then $q=0$ a.e.

Keywords

sturm-liouville operators dirichlet problem boundary value problems

Cite

@article{arxiv.2110.02546,
  title  = {Inverse Problem For Dirichlet Boundary Value Problems},
  author = {Alp Arslan Kıraç and Fatma Ylmaz},
  journal= {arXiv preprint arXiv:2110.02546},
  year   = {2021}
}

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