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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Format: | UnknownFormat |
Sprache: | eng |
Veröffentlicht: |
Berlin
WIAS
2006
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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. |
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Beschreibung: | 26 S. 30 cm |