Izvorni znanstveni članak
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
Sažetak
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.
Ključne riječi
Nonlinear heat problem; ill-posed problem; Fourier transform; contraction principle
Hrčak ID:
82990
URI
Datum izdavanja:
12.6.2012.
Posjeta: 1.774 *