Journal of Inverse and Ill-posed Problems
Editor-in-Chief: Kabanikhin, Sergey I.
6 Issues per year
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Regularization and error estimate for a spherically symmetric backward heat equation
- College of Science, Henan University of Technology, Zhengzhou 450001, P. R. China.
In this paper, we consider an inverse time problem for a spherically symmetric heat equation. The problem is ill-posed. A spectral method is applied to formulate a regularized solution which is stably convergent to the exact ones. A quite sharp error estimate for the regularized solution is obtained with suitable choice of regularization parameter.