The identification of a source term in a parabolic integro-differential equation is considered. We study the existence of the quasi-solution to this problem, Tikhonov regularization and a related gradient method.
Kasemets, K., & Janno, J. (2011). Reconstruction of a source term in a parabolic integro-differential equation from final data. Mathematical Modelling and Analysis, 16(2), 199-219. https://doi.org/10.3846/13926292.2011.578282
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