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math.NA2021
A unified framework for the regularization of final value time-fractional diffusion equation
Walter Simo Tao Lee
This paper focuses on the regularization of backward time-fractional diffusion problem on unbounded domain. This problem is well-known to be ill-posed, whence the need of a regular…
math.AP2021
A mollifier approach to regularize a Cauchy problem for the inhomogeneous Helmholtz equation
Pierre Marechal, Walter Simo Tao Lee, Faouzi Triki
The Cauchy problem for the inhomogeneous Helmholtz equation with non-uniform refraction index is considered. The ill-posedness of this problem is tackled by means of the variationa…