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math.AP2020
Identification of matrix diffusion coefficients in a parabolic PDE
Subhankar Mondal, M. Thamban Nair
We consider an inverse problem of identifying the diffusion coefficient in matrix form in a parabolic PDE. In 2006, Cao and Pereverzev, used a \textit{natural linearisation} method…
math.AP2019
On truncated spectral regularization for an ill-posed evolution equation
M. Thamban Nair
In this note we consider the {\it spectral truncation} as the regularization for an ill-posed non-homogeneous parabolic final value problem, and obtain error estimates under a genr…