Vol. 204, No. 2, 2002

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Determining the potential of a Sturm–Liouville operator from its Dirichlet and Neumann spectra

Virgil Pierce

Vol. 204 (2002), No. 2, 497–509
Abstract

In this paper we consider the inverse spectral problem for the Sturm–Liouville Operator on the interval [0,1]. We show that given the Dirichlet and Neumann spectra of such an operator we find a generically uncountable family of potentials with these spectra.

Milestones
Received: 20 October 2000
Revised: 15 December 2000
Published: 1 June 2002
Authors
Virgil Pierce
Department of Mathematics
University of Arizona
Tucson, AZ 85721