Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774904 | Journal of Mathematical Analysis and Applications | 2017 | 12 Pages |
Abstract
In this paper, we study the backward in time problem for nonlinear parabolic equations associated with nonlinear diffusion coefficient. The problem is ill-posed in the sense of Hadamard. Under an a priori assumption on the exact solution in Gevrey space, we propose a new regularization method for stabilising the ill-posed problem. Our results extend some earlier works on backward problems for nonlinear parabolic equations.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Vo Van Au, Nguyen Huy Tuan,