The Inverse Eigenvalue Problem with Finite Data for Partial Differential Equations

This work is concerned with the inverse eigenvalue problem for the partial differential equation $\nabla ^2 u + (\lambda - q(x,y))u = 0$ . We study the problem of reconstructing the coefficient function $q(x,y)$ (or at least a numerical approximation to it) using only a finite amount of spectral dat...

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Bibliographic Details

Published in:	SIAM journal on mathematical analysis Vol. 26; no. 3; pp. 616 - 632
Main Authors:	Barnes, David C., Knobel, Roger
Format:	Journal Article
Language:	English
Published:	Philadelphia Society for Industrial and Applied Mathematics 01.05.1995
Subjects:	Applied mathematics Approximation Eigenvalues Inverse problems Mathematical functions Norms Partial differential equations
ISSN:	0036-1410, 1095-7154
Online Access:	Get full text
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