A backward nonlinear heat equation: regularization with error estimates

Abstract

In this article the authors consider a backward nonlinear heat equation. The uniqueness of the problem is proved and the problem is regularized by finite dimensional approximations. Error estimates in some particular cases are given.

Keywords:

• Nonlinear heat equation
• Backward
• Mathematics Subject Classification 2002: 35K55
• 35K99

Acknowledgment

The authors gratefully acknowledge the constructive criticisms and helpful suggestions leading to the present improved version of our article. This study was supported by the Council for Natural Sciences of Vietnam.