A quasi-boundary value regularization method for the spherically symmetric backward heat conduction problem

In this article, we investigate a spherically symmetric backward heat conduction problem, starting from the final temperature. This problem is severely ill posed: the solution (if it exists) does not depend continuously on the final data. A conditional stability result of its solution is given. Furt...

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Bibliographic Details

Published in:	Open Mathematics
Main Authors:	Cheng Wei, Liu Yi-Liang
Format:	Article
Language:	English
Published:	De Gruyter 2023-12-01
Subjects:	ill-posed problem backward heat equation regularization error estimate morozov's discrepancy principle 65m30 35r25 35r30
Online Access:	https://doi.org/10.1515/math-2023-0171