26 citations · 38 across the 17 of their papers we have counts for
9 papers · 1 filter
Total Variation Regularisation with Spatially Variable Lipschitz Constraints
Martin Burger, Yury Korolev, Simone Parisotto +1
We introduce a first order Total Variation type regulariser that decomposes a function into a part with a given Lipschitz constant (which is also allowed to vary spatially) and a j…
An entropic Landweber method for linear ill-posed problems
Martin Burger, Elena Resmerita, Martin Benning
The aim of this paper is to investigate the use of an entropic projection method for the iterative regularization of linear ill-posed problems. We derive a closed form solution for…
Segregation and Gap Formation in Cross-Diffusion Models
M. Burger, J. A. Carrillo, J. -F. Pietschmann +1
In this paper we analyse a class of nonlinear cross-diffusion systems for two species with local repulsive interactions that exhibit a formal gradient flow structure with respect t…
Asymptotic Profiles of Nonlinear Homogeneous Evolution Equations of Gradient Flow Type
Leon Bungert, Martin Burger
This work is concerned with the gradient flow of absolutely -homogeneous convex functionals on a Hilbert space, which we show to exhibit finite () or infinite extinction ti…
Data assimilation in price formation
Martin Burger, Jan-Frederik Pietschmann, Marie-Therese Wolfram
We consider the problem of estimating the density of buyers and vendors in a nonlinear parabolic price formation model using measurements of the price and the transaction rate. Our…
A PDE model for bleb formation and interaction with linker proteins
Philipp Werner, Martin Burger, Jan-Frederik Pietschmann
The aim of this paper is to further develop mathematical models for bleb formation in cells, including cell-membrane interactions with linker proteins. This leads to nonlinear reac…