Interpolation in variable Hilbert scales with application to inverse problems

For solving linear ill-posed problems with noisy data regularization methods are required. In the present paper regularized approximations in Hilbert scales are obtained by a general regularization scheme. The analysis of such schemes is based on new results for interpolation in Hilbert scales. Erro...

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Bibliographische Detailangaben
1. Verfasser: Mathé, Peter (VerfasserIn)
Weitere Verfasser: Tautenhahn, Ulrich (VerfasserIn)
Format: UnknownFormat
Sprache:eng
Veröffentlicht: Berlin WIAS 2006
Schriftenreihe:Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik 1148
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Zusammenfassung:For solving linear ill-posed problems with noisy data regularization methods are required. In the present paper regularized approximations in Hilbert scales are obtained by a general regularization scheme. The analysis of such schemes is based on new results for interpolation in Hilbert scales. Error bounds are obtained under general smoothness conditions.
Beschreibung:26 S.
30 cm