Geodesic
A note on optimal rates for Lavrentiev regularization with adjoint source conditions
Electronic transactions on numerical analysis, Tome 45 (2016), pp. 420-423
In a recent paper, Plato, Mathé, and Hofmann proved several convergence rate results for Lavrentiev regularization. Especially, they also proved new results for the case when the exact solution $u$ of an ill-posed linear problem $Au=f$ satisfies the adjoint source condition $u\in\mathcal{R}({(A^*)^p}), 0 \frac{1}{2}$.
Classification : 47A52, 65J20
Keywords: Lavrentiev regularization, convergence rates 
@article{ETNA_2016__45__a4,
     author = {Neubauer,  Andreas},
     title = {A note on optimal rates for {Lavrentiev} regularization with adjoint source conditions},
     journal = {Electronic transactions on numerical analysis},
     pages = {420--423},
     year = {2016},
     volume = {45},
     zbl = {1477.65090},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2016__45__a4/}
}
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%J Electronic transactions on numerical analysis
%D 2016
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%F ETNA_2016__45__a4
Neubauer,  Andreas. A note on optimal rates for Lavrentiev regularization with adjoint source conditions. Electronic transactions on numerical analysis, Tome 45 (2016), pp. 420-423. http://geodesic.mathdoc.fr/item/ETNA_2016__45__a4/