Inverse Problem For Dirichlet Boundary Value Problems

2021/10/06 by Alp Arslan Kıraç, Kıraç, Alp Arslan, Fatma Ylmaz +1
Mathematics · Computer Science · #Spectral Theory in Mathematical Physics #Differential Equations and Boundary Problems #Advanced Mathematical Modeling in Engineering

paper · pdf · doi:10.48550/arxiv.2110.02546

Abstract

In this article we consider Sturm-Liouville operator with q∈ W₁²[0,1] and Dirichlet boundary conditions. We prove that if the set \(nπ)²:n∈ ℕ\ is a subset of the spectrum of the Sturm-Liouville operator with Dirichlet boundary conditions, then q=0 a.e.

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