17 citations · 29 across the 7 of their papers we have counts for
8 papers
Relations between Kondratiev spaces and refined localization Triebel-Lizorkin spaces
Markus Hansen, Benjamin Scharf, Cornelia Schneider
We investigate the close relation between certain weighted Sobolev spaces (Kondratiev spaces) and refined localization spaces from introduced by Triebel [39,40]. In particular, usi…
Optimal Control of a Collective Migration Model
Benedetto Piccoli, Nastassia Pouradier Duteil, Benjamin Scharf
Collective migration of animals in a cohesive group is rendered possible by a strategic distribution of tasks among members: some track the travel route, which is time and energy-c…
Sparse Control of Alignment Models in High Dimension
Mattia Bongini, Massimo Fornasier, Oliver Junge +1
For high dimensional particle systems, governed by smooth nonlinearities depending on mutual distances between particles, one can construct low-dimensional representations of the d…
Besov regularity of solutions to the p-Poisson equation
Stephan Dahlke, Lars Diening, Christoph Hartmann +2
In this paper, we study the regularity of solutions to the -Poisson equation for all . In particular, we are interested in smoothness estimates in the adaptivity sca…
Wavelet decomposition techniques and Hardy inequalities for function spaces on cellular domains
Benjamin Scharf
A rather tricky question is the construction of wavelet bases on domains for suitable function spaces (Sobolev, Besov, Triebel-Lizorkin type). In his monograph from 2008, Triebel p…
Wavelets in function spaces on cellular domains
Benjamin Scharf
Nowadays the theory and application of wavelet decompositions plays an important role not only for the study of function spaces (of Lebesgue, Hardy, Sobolev, Besov, Triebel-Lizorki…