On a backward nonlinear parabolic equation with time and space
dependent thermal conductivity: Regularization and error estimates

Pham Hoang Quan; Dang Duc Trong; Le Minh Triet

doi:10.1515/jip-2012-0012

Article

On a backward nonlinear parabolic equation with time and space dependent thermal conductivity: Regularization and error estimates

Pham Hoang Quan , Dang Duc Trong and Le Minh Triet

Published/Copyright: April 16, 2013

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From the journal Journal of Inverse and Ill-posed Problems Volume 22 Issue 3

Abstract.

We study the inverse problem for nonlinear parabolic equation with variable thermal conductivity a(x,t) which is a ill-posed problem. We regularize this problem by using the truncated integral method and then obtain the error estimate between the exact solution and the regularized solution. A numerical experiment is given for illustrating our method.

Keywords: Backward problem; ill-posed problem; variable coefficient

MSC: 35K05; 35K99; 47J06; 47H10

Funding source: National Foundation for Science and Technology Development (NAFOSTED)

Received: 2012-2-28

Published Online: 2013-4-16

Published in Print: 2014-6-1

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Articles in the same Issue

https://doi.org/10.1515/jip-2012-0012

Keywords for this article

Backward problem; ill-posed problem; variable coefficient