The inverse problem of reconstructing reaction–diffusion systems
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Publication:5113632
DOI10.1088/1361-6420/AB8483zbMATH Open1444.65055arXiv2003.00489OpenAlexW3102691659MaRDI QIDQ5113632
Author name not available (Why is that?)
Publication date: 15 June 2020
Published in: (Search for Journal in Brave)
Abstract: This paper considers the inverse problem of recovering state-dependent source terms in a reaction-diffusion system from overposed data consisting of the values of the state variables either at a fixed finite time (census-type data) or a time trace of their values at a fixed point on the boundary of the spatial domain. We show both uniqueness results and the convergence of an iteration scheme designed to recover these sources. This leads to a reconstructive method and we shall demonstrate its effectiveness by several illustrative examples.
Full work available at URL: https://arxiv.org/abs/2003.00489
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