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math.FA2024
A second order approach to the Kato square root problem on open sets
Sebastian Bechtel, Cody Hutcheson, Tim Schmatzler +2
We obtain the Kato square root property for coupled second-order elliptic systems in divergence form subject to mixed boundary conditions on an open and possibly unbounded set in $…
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…