Original scientific paper

An improved stability result for a heat equation backward in time with nonlinear source

Nguyen Huy Tuan ; Department of Applied Mathematics, Faculty of Science and Technology, Hoa Sen University, Quang Trung Software Park, Hochiminh city, VietNam
Pham Hoang Quan ; Department of Mathematics and Applications, Sai Gon University, Ho Chi Minh city, VietNam

Abstract

We consider a nonlinear backward heat conduction problem in a strip. The problem is ill-posed in the sense that the solution (if it exists) does not depend continuously on the data. We shall use a modified integral equation method to regularize the nonlinear problem. The error estimates of Hölder type of the regularized solutions are obtained.

Keywords

Nonlinear heat problem; ill-posed problem; Fourier transform; contraction principle

Hrčak ID:

82990

URI

https://hrcak.srce.hr/82990

Publication date:

12.6.2012.

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