Geodesic
On error estimation for the quasi-inversion method for solving a~semi-linear ill-posed problem
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 8 (2005) no. 3, pp. 259-271.

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In this paper, the approximate solutions error estimates are obtained for an ill-posed semi-linear Cauchy problem. The continuity module of the inverse operator is used as a standard estimator for obtaining the error estimates. The value of the continuity module is calculated for two classes of uniform regularization of the original problem. The quasi-inversion method is used to construct stable approximate solutions. 
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I. V. Tabarintseva. On error estimation for the quasi-inversion method for solving a~semi-linear ill-posed problem. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 8 (2005) no. 3, pp. 259-271. http://geodesic.mathdoc.fr/item/SJVM_2005_8_3_a6/

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