An iterative regularization method for an abstract ill-posed biparabolic problem

Boundary value problems

Nadjib Boussetila¹  Abdelghani Lakhdari² 

[1] Department of Mathematics, University 8 Mai 1945 Guelma, Guelma, Algeria;Laboratory of Applied Mathematics and Modeling, University 8 Mai 1945 Guelma, Guelma, Algeria

关键词: ill-posed problems;    biparabolic problem;    iterative regularization;    47A52;    65J22;   

DOI  :  10.1186/s13661-015-0318-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we are concerned with the problem of approximating a solution of an ill-posed biparabolic problem in the abstract setting. In order to overcome the instability of the original problem, we propose a regularizing strategy based on the Kozlov-Maz’ya iteration method. Finally, some other convergence results including some explicit convergence rates are also established under a priori bound assumptions on the exact solution.

【 授权许可】

CC BY