5 papers
Another simple proof of the 1-dimensional flat chain conjecture
Philippe Bouafia, Thierry De Pauw
We provide a short proof of the 1-dimensional flat chain conjecture.
On divergence operators: Free space and vanishing charges
Thierry De Pauw
We use localized topologies to prove existence and optimal regularity results for the divergence equation in critical cases or $…
A brief review of Radon-Nikodýmification
Thierry De Pauw
We review recent results on Radon-Nikodýmification of abstract measure spaces, the particular case of integral geometric measure, and applications to the dual of SBV.
Localized locally convex topologies
Thierry De Pauw
Motivated by ill-posed PDEs such as we study locally convex topologies on real vector spaces that are a ``localized'' version…
Quantified compactness in Lipschitz-free spaces of
Thierry De Pauw
We show that the members of the Lipschitz-free space of are exactly the 0-dimensional flat currents whose "boundary" vanishes. The connection with normal and flat curren…