Inverse problem for the reaction diffusion system by optimization method |
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Authors: | K Sakthivel S Gnanavel N Barani Balan K Balachandran |
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Institution: | 1. Department of Mathematics, Yonsei University, Seoul 120 749, South Korea;2. 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 in the reaction diffusion system from the final measurement. First the given problem is transformed into an optimization problem by using optimal control framework and the existence of the minimizer for the control functional is established. Then we prove the stability estimate for two coefficients with the upper bound given by some Sobolev norms of the final measurement. |
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Keywords: | Inverse problem Optimal control Reaction diffusion systems Stability |
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