A Regularization of the Backward Problem for Nonlinear Parabolic Equation with Time-Dependent Coefficient

Pham Hoang Quan, Le Minh Triet and Dang Duc Trong

International Journal of Mathematics and Mathematical Sciences, 2012, vol. 2012, 1-20

Abstract:

We study the backward problem with time-dependent coefficient which is a severely ill-posed problem. We regularize this problem by combining quasi-boundary value method and quasi-reversibility method and then obtain sharp error estimate between the exact solution and the regularized solution. A numerical experiment is given in order to illustrate our results.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:943621

DOI: 10.1155/2012/943621

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