Simultaneous identification of parameters and initial datum of reaction diffusion system by optimization method |
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Authors: | S Gnanavel N Barani Balan K Balachandran |
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Institution: | Department of Mathematics, Bharathiar University, Coimbatore 641 046, India |
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Abstract: | In this paper, we study an inverse problem of reconstructing two time independent coefficients and the initial data in the linear reaction diffusion system from the arbitrary subdomain measurement and final measurement. First the given problem is transformed into an optimization problem by using optimal control framework and we establish the existence of the minimizer for the control functional. Further the necessary optimality condition is established which is the key ingredient to establish the stability estimate. |
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Keywords: | Inverse problem Optimal control Reaction diffusion systems |
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