The article explores an inverse coefficient problem for one-dimensional subdiffusion, aiming to determine coefficients and parameters from lateral Cauchy data. The analysis leverages fractional diffusion memory effects for unique coefficient recovery. Unique solutions are proven under specific conditions, with numerical experiments supporting the findings. The study extends existing results by considering data on disjoint time sets, presenting challenging yet practical scenarios. Theoretical results are complemented by numerical demonstrations using the Levenberg-Marquardt method.
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by Siyu Cen,Ban... um arxiv.org 03-19-2024
https://arxiv.org/pdf/2403.11599.pdfTiefere Fragen