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

DOI10.2140/pjm.2002.204.497zbMath1075.34009OpenAlexW1980668138MaRDI QIDQ701271

Virgil U. Pierce

Publication date: 22 October 2002

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2002.204.497

zbMATH Keywords

periodic spectrumDirichlet spectrumeven potential inverse problemNeumann spectrum

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55)

Related Items (3)

REMARK ON ESTIMATE OF A POTENTIAL IN TERMS OF EIGENVALUES OF THE STURM–LIOUVILLE OPERATOR ⋮ Inverse Sturm-Liouville problems for non-Borg conditions ⋮ Inverse spectral theory for uniformly open gaps in a weighted Sturm-Liouville problem

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