On an inverse coefficient problem for a drug war reaction-diffusion system via an optimization approach
DOI: https://doi.org/10.3846/mma.2026.24516Abstract
In this paper, we study a coefficients inversion problem of a coupled system controlled by three reaction-diffusion equations describing a simple dynamic model of a drug epidemic in an idealized community from the final measurement data. Firstly, the optimization theory is used to transform the given problem into an optimal control problem, and the existence of minimizer is established. Then the stability estimates of the Lipschitz type for the three spatially varying coefficients are proved, where the upper bounds are given by some Lebesgue norms of the final measure.
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coefficient inverse problem, coupled reaction-diffusion system, optimal control problem, stabilityHow to Cite
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Copyright (c) 2026 The Author(s). Published by Vilnius Gediminas Technical University.
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