Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Parameter identifiability under approximation

Authors: K. Kunisch and L. W. White
Journal: Quart. Appl. Math. 44 (1986), 475-486
MSC: Primary 49D15; Secondary 93B30, 93C05
DOI: https://doi.org/10.1090/qam/860900
MathSciNet review: 860900
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Abstract: The problem of injectivity of the parameter-to-state map is discussed for Galerkin approximations of a linear parabolic equation. A necessary and sufficient condition is derived and illustrated by means of simple examples. Finally, output least squares identifiability of the Galerkin approximations is discussed.

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DOI: https://doi.org/10.1090/qam/860900
Article copyright: © Copyright 1986 American Mathematical Society

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