Perturbation expansions for eigenvalues and eigenvectors for a rectangular membrane subject to a restorative force

DOI10.1090/S1079-6762-97-00027-9zbMath0887.35113OpenAlexW1501244378MaRDI QIDQ4373832

Arturo Portnoy, Joyce R. McLaughlin

Publication date: 22 January 1998

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/225296

zbMATH Keywords

inverse nodal problemseries expansions

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Series solutions to PDEs (35C10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Perturbations in context of PDEs (35B20)

Cites Work

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• The perturbatively stable spectrum of a periodic Schrödinger operator
• Diophantine approximations and diophantine equations
• On the spectrum of the periodic problem for the Schrödinger operator
• Perturbing a rectangular membrane with a restorative force: effects on eigenbvalues and eigenfunctions.
• Inverse nodal problems: finding the potential from nodal lines
• A formula for finding a potential from nodal lines

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