DOI

10.1006/jmaa.1995.1341

Abstract

We investigate the problem of recovering a potential q(x) in the equation -∆u + q(x)u = 0 from overspecified boundary data on the unit square in R2. The potential is characterized as a fixed point of a nonlinear operator, which is shown to be a contraction on a ball in C∝. Uniqueness of q(x) follows, as does convergence of the resulting recovery scheme. Numerical examples, demonstrating the performance of the algorithm, are presented.

Document Type

Article

Publication Date

1995

Publisher Statement

Copyright © 1995 Academic Press, Inc.. This article first appeared in Journal of Mathematical Analysis and Applications 195, no. 1 (1995): 44-70. doi:10.1006/jmaa.1995.1341.

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