41 citations · 324 across the 37 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.NA2022
On uniqueness and ill-posedness for the deautoconvolution problem in the multi-dimensional case
Bernd Hofmann, Frank Werner, Yu Deng
This paper analyzes the inverse problem of deautoconvolution in the multi-dimensional case with respect to solution uniqueness and ill-posedness. Deautoconvolution means here the r…
math.NA2022
Deautoconvolution in the two-dimensional case
Yu Deng, Bernd Hofmann, Frank Werner
There is extensive mathematical literature on the inverse problem of deautoconvolution for a function with support in the unit interval , but little is kno…
math.NA2022★ 1 cited
Variational regularization with oversmoothing penalty term in Banach spaces
Robert Plato, Bernd Hofmann
In the present work, we discuss variational regularization for ill-posed nonlinear problems with focus on an oversmoothing penalty term. This means in our model that the searched-f…