55 citations · 598 across the 84 of their papers we have counts for
9 papers · 1 filter
On inverse problems for semiconductor equations
M. Burger, H. W. Engl, A. Leitão +1
This paper is devoted to the investigation of inverse problems related to stationary drift-diffusion equations modeling semiconductor devices. In this context we analyze several id…
Mean-field optimal control for biological pattern formation
Martin Burger, Lisa Maria Kreusser, Claudia Totzeck
We propose a mean-field optimal control problem for the parameter identification of a given pattern. The cost functional is based on the Wasserstein distance between the probabilit…
Adaptive Superresolution in Deconvolution of Sparse Peaks
Alexandra Koulouri, Pia Heins, Martin Burger
The aim of this paper is to investigate superresolution in deconvolution driven by sparsity priors. The observed signal is a convolution of an original signal with a continuous ker…
Network structured kinetic models of social interactions
Martin Burger
The aim of this paper is to study the derivation of appropriate meso- and macroscopic models for interactions as appearing in social processes. There are two main characteristics t…
Sequentially optimized projections in X-ray imaging
Martin Burger, Andreas Hauptmann, Tapio Helin +2
This work applies Bayesian experimental design to selecting optimal projection geometries in (discretized) parallel beam X-ray tomography assuming the prior and the additive noise…
Delayed Blow-Up for Chemotaxis Models with Local Sensing
Martin Burger, Philippe Laurençot, Ariane Trescases
The aim of this paper is to analyze a model for chemotaxis based on a local sensing mechanism instead of the gradient sensing mechanism used in the celebrated minimal Keller-Segel…
Variational regularisation for inverse problems with imperfect forward operators and general noise models
Leon Bungert, Martin Burger, Yury Korolev +1
We study variational regularisation methods for inverse problems with imperfect forward operators whose errors can be modelled by order intervals in a partial order of a Banach lat…
Coarse graining of a Fokker-Planck equation with excluded volume effects preserving the gradient-flow structure
Maria Bruna, Martin Burger, José Antonio Carrillo
The propagation of gradient flow structures from microscopic to macroscopic models is a topic of high current interest. In this paper we discuss this propagation in a model for the…
Structural analysis of an -infinity variational problem and relations to distance functions
Leon Bungert, Yury Korolev, Martin Burger
In this work we analyse the functional defined on Lipschitz functions with homogeneous Dirichlet boundary conditions. Our analysis is performed di…