Some generalizations for Landweber iteration for nonlinear ill-posed problems in Hilbert scales

摘要

In this paper we derive convergence rates results for Landweber iteration in Hilbert scales. The assumptions that are necessary to prove these results are less restrictive than the ones given in an earlier paper. The relaxed conditions enlarge the range of applicability to a much wider class of nonlinear problems. The theory is applied to nonlinear Hammerstein operators.