9 citations · 16 across the 11 of their papers we have counts for
5 papers · 1 filter
A Liouville theorem for stationary incompressible fluids of von Mises type
Martin Fuchs, Jan Mueller
We consider entire solutions of the equations describing the stationary flow of a generalized Newtonian fluid in 2D concentrating on the question, if a Liouville-type result ho…
Convex Regularization of Multi-Channel Images Based on Variants of the TV-Model
Martin Fuchs, Jan Mueller, Christian Tietz +1
We discuss existence and regularity results for multi-channel images in the setting of isotropic and anisotropic variants of the TV-model.
A reciprocity principle for constrained isoperimetric problems and existence of isoperimetric subregions in convex sets
Michael Bildhauer, Martin Fuchs, Jan Mueller
It is a well known fact that in a subset of minimal perimeter among all sets of a given volume is also a set of maximal volume among all sets of the same perimet…
Signal recovery via TV-type energies
Martin Fuchs, Jan Mueller, Christian Tietz
We consider one-dimensional variants of the classical first order total variation denoising model introduced by Rudin, Osher and Fatemi. This study is based on our previous work on…
A higher order TV-type variational problem related to the denoising and inpainting of images
Martin Fuchs, Jan Mueller
We give a comprehensive survey on a class of higher order variational problems which are motivated by applications in mathematical imaging. The overall aim of this note is to inves…