Identifying an unknown source in the Poisson equation by the method of Tikhonov regularization in Hilbert scales

In this paper, we consider the problem for identifying the unknown source in the Poisson equation. The Tikhonov regularization method in Hilbert scales is extended to deal with illposedness of the problem and error estimates are obtained with an a priori strategy and an a posteriori choice rule to f...

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Veröffentlicht in:	Applied mathematical modelling 2014-10, Vol.38 (19-20), p.4686-4693
Hauptverfasser:	Zhao, Zhenyu, Meng, Zehong, You, Lei, Xie, Ou
Format:	Artikel
Sprache:	eng
Schlagworte:	Discrepancy principle Estimates Exact solutions Ill-posed problem Mathematical analysis Mathematical models Poisson equation Regularization Strategy Tikhonov regularization method in Hilbert scales Unknown source
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