WIAS Preprint No. 1148, (2006)

Interpolation in variable Hilbert scales with application to inverse problems



Authors

  • Mathé, Peter
    ORCID: 0000-0002-1208-1421
  • Tautenhahn, Ulrich

2010 Mathematics Subject Classification

  • 65J20 46B70 65R30

Keywords

  • Regularization, interpolation spaces, Hilbert scales

Abstract

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.

Appeared in

  • Inverse Problems, 22 (2006) pp. 2271--2297.

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