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math.CA2019
Extendability of functions with partially vanishing trace
Sebastian Bechtel, Russell M. Brown, Robert Haller-Dintelmann +1
Let be open and be a closed part of its boundary. Under very mild assumptions on , we construct a bounded Sobolev extension oper…
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…