1 citations · 1 across the 4 of their papers we have counts for
5 papers
A variational technique of mollification applied to backward heat conduction problems
Walter C. Simo Tao Lee
This paper addresses a backward heat conduction problem with fractional Laplacian and time-dependent coefficient in an unbounded domain. The problem models generalized diffusion pr…
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…
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…
Regularization of linear and nonlinear ill-posed problems by mollification
Walter Cedric Simo Tao Lee
In this paper, we address the problem of approximating solutions of ill-posed problems using mollification. We quickly review existing mollification regularization methods and prov…
A new regularization method for linear exponentially ill-posed problems
Walter Cedric Simo Tao Lee
This paper provides a new regularization method which is particularly suitable for linear exponentially ill-posed problems. Under logarithmic source conditions (which have a natura…