Reconstruction and stable recovery of source terms and coefficients appearing in diffusion equations
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Publication:4973540
DOI10.1088/1361-6420/AB2D42zbMATH Open1427.35360arXiv1902.09118OpenAlexW2949672629MaRDI QIDQ4973540
Author name not available (Why is that?)
Publication date: 28 November 2019
Published in: (Search for Journal in Brave)
Abstract: We consider the inverse source problem of determining a source term depending on both time and space variable for fractional and classical diffusion equations in a cylindrical domain from boundary measurements. With suitable boundary conditions we prove that some class of source terms which are independent of one space direction, can be reconstructed from boundary measurements. Actually, we prove that this inverse problem is well-posed. We establish also some results of Lipschitz stability for the recovery of source terms which we apply to the stable recostruction of time-dependent coefficients.
Full work available at URL: https://arxiv.org/abs/1902.09118
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