41 citations · 324 across the 37 of their papers we have counts for
Showing 2017 · math.NAShow all
2 papers · 2 filters
math.NA2017
On ill-posedness concepts, stable solvability and saturation
Bernd Hofmann, Robert Plato
We consider different concepts of well-posedness and ill-posedness and their relations for solving nonlinear and linear operator equations in Hilbert spaces. First, the concepts of…
math.NA2017★ 41 cited
Tikhonov regularization with oversmoothing penalty for non-linear ill-posed problems in Hilbert scales
Bernd Hofmann, Peter Mathé
We study the Tikhonov regularization for ill-posed non-linear operator equations in Hilbert scales. Our focus is on the interplay between the smoothness-promoting properties of the…