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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…