3 papers
math.FA2023
Hardy spaces adapted to elliptic operators on open sets
Sebastian Bechtel, Tim Böhnlein
Let be an elliptic operator defined on an open subset of , complemented with mixed boundary conditions. Under suitable assumption…
math.FA2019
The Kato Square Root Problem on locally uniform domains
Sebastian Bechtel, Moritz Egert, Robert Haller-Dintelmann
We obtain the Kato square root estimate for second order elliptic operators in divergence form with mixed boundary conditions on an open and possibly unbounded set in $\mathbb{R}^d…
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…