3 papers
math.CA2020
Hardy spaces for boundary value problems of elliptic systems with block structure
Pascal Auscher, Moritz Egert
We present recent results on elliptic boundary value problems where the theory of Hardy spaces associated with operators plays a key role.
math.CA2018
On p-elliptic divergence form operators and holomorphic semigroups
Moritz Egert
Second order divergence form operators are studied on an open set with various boundary conditions. It is shown that the p-ellipticity condition of Carbonaro-Dragicevic and Dindos-…
math.CA2018
Interpolation theory for Sobolev functions with partially vanishing trace on irregular open sets
Sebastian Bechtel, Moritz Egert
A full interpolation theory for Sobolev functions with smoothness between 0 and 1 and vanishing trace on a part of the boundary of an open set is established. Geometric assumptions…