REGULARIZATION OF A BACKWARD HEAT TRANSFER PROBLEM WITH A NONLINEAR SOURCE
DANG DUC TRONG, NGUYEN MINH DIEN
Abstract
We consider the problem of finding, from the final data , the function satisfying The problem is ill-posed and we shall use the Fourier transform to get a nonlinear integral equation in the frequency space. By truncating high frequencies, we give a regularized solution. Error estimates are given.