Abstract
The estimation of unknown coefficients in partial differential equations is frequently studied as an output least squares problem involving an "observation" of the system for which the model is derived and the solution of the model equation as a function of the unknown parameter. We study the continuous dependence of the output least squares formulation on the observation of the system. There is no a-priori assumption on the uniqueness of the output least squares solutions.
Both authors acknowledge support from the Fonds zur Förderung der wissenschaftlichen Forschung, under grant S 3206.
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© 1987 International Federation for Information Processing
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Colonius, F., Kunisch, K. (1987). Output least squares stability for estimation of the diffusion coefficient in an elliptic equation. In: Lasiecka, I., Triggiani, R. (eds) Control Problems for Systems Described by Partial Differential Equations and Applications. Lecture Notes in Control and Information Sciences, vol 97. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0038752
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DOI: https://doi.org/10.1007/BFb0038752
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