A formula for finding a potential from nodal lines

DOI10.1090/S0273-0979-1995-00584-7zbMath0852.35142arXivmath/9504226MaRDI QIDQ4884442

Joyce R. McLaughlin, Ole Hansen Hald

Publication date: 14 July 1996

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9504226

zbMATH Keywords

uniquenessapproximationDirichlet boundary conditionselliptic equationinverse nodal problemsnodal lines of the eigenfunctions

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Inverse problems for waves in solid mechanics (74J25)

Related Items (2)

Perturbation expansions for eigenvalues and eigenvectors for a rectangular membrane subject to a restorative force ⋮ Inhomogeneous beams that may possess a prescribed polynomial second mode

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The perturbatively stable spectrum of a periodic Schrödinger operator
• Inverse spectral theory using nodal points as data - A uniqueness result
• On the spectrum of the periodic problem for the Schrödinger operator
• Solution of inverse nodal problems
• Generic Properties of Eigenfunctions
• Inverse nodal problems: finding the potential from nodal lines
• Eigenfunctions of Laplace operators
• Rational approximations to algebraic numbers

This page was built for publication: A formula for finding a potential from nodal lines