Title: REGULARIZATION OF ILL-POSED NONHOMOGENEOUS PARABOLIC PROBLEMS
Abstract:
Two types of ill-posed problems are studied, namely, parabolic final value problem (FVP) and abstract source identification problem. We define a mild solution for parabolic FVP and prove some properties of the mild solution. Truncated spectral regularization method and quasi-reversibility method are considered as regularization method. We derive error estimates for exact as well as noisy data and obtain estimates under a priori parameter choice strategies. Obtained estimates include many results in the literature.
Date: 13/12/2018
Time: 11 am
Venue: MZ 195, committee room, Department of Mathematics