Identification of Parameters through the Approximate Periodic Solutions of a Parabolic System

L. Lei ()
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L. Lei: Zhejiang University

Journal of Optimization Theory and Applications, 2008, vol. 137, issue 1, No 15, 185-204

Abstract: Abstract This work is concerned with the identification problem for the perturbation term or error term in a parabolic partial differential equation through its approximate periodic solutions. The observation is made over a subregion of the physical domain. The existence and uniqueness problem of the approximate periodic solutions is studied in the first part of the paper. A solution to the identification problem is given in the second part of the paper. The main ingredients to be used include the classical Galerkin method and the unique continuation property for a parabolic system.

Keywords: Identification of parameters; Galerkin method; Approximate periodic solutions; Unique continuation (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10957-007-9327-5

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