Simultaneous Identification of Two Parameters on the Reaction Diffusion System from Discrete Measurement Data

Citation:

Soundararajan GNANAVEL,Krishnan BALACHANDRAN.Simultaneous Identification of Two Parameters on the Reaction Diffusion System from Discrete Measurement Data[J].Chinese Annals of Mathematics B,2013,34(6):843~854
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Authors:

Soundararajan GNANAVEL; Krishnan BALACHANDRAN;

Foundation:

Council of Scientific and Industrial Research (CSIR), India (No. 09/472(0143)/2010-EMR-I).
Abstract: This article deals with an inverse problem of reconstructing two time independent coefficients in the reaction diffusion system from the final time space discretized measurement using the optimization method with the help of the smooth interpolation technique. The main objective of the article is to analyse the asymptotic behavior of the solution of the inverse problem for the linearly coupled reaction diffusion system with respect to the homogeneous Dirichlet boundary condition.

Keywords:

Inverse problem, Optimal control, Reaction diffusion systems, Asymptotic convergence

Classification:

65N21, 35K57, 49K20
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