Journal
APPLIED MATHEMATICAL MODELLING
Volume 37, Issue 16-17, Pages 8251-8263Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2013.03.052
Keywords
Inverse problem; Optimal control; Reaction diffusion systems
Funding
- Council of Scientific and Industrial Research (CSIR), INDIA [09/472(0143)/2010-EMR-I]
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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. (C) 2013 Elsevier Inc. All rights reserved.
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