P. Tolksdorf

activity

20132022

most citedThe Stokes operator in two-dimensional bounded Lipschitz domains

9 citations · 16 across the 12 of their papers we have counts for

collaborators

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2 papers · 1 filter

math.CA2019★ 1 cited

Extendability of functions with partially vanishing trace

Sebastian Bechtel, Russell M. Brown, Robert Haller-Dintelmann +1

Let $Ω \subseteq R^{d}$ be open and $D \subseteq \partial Ω$ be a closed part of its boundary. Under very mild assumptions on $Ω$ , we construct a bounded Sobolev extension oper…

math.CA2016★ 1 cited

Characterizations of Sobolev Functions that vanish on a part of the boundary

Moritz Egert, Patrick Tolksdorf

Let $Ω$ be a bounded domain in R n with a Sobolev extension property around the complement of a closed part D of its boundary. We prove that a function u $\in$ W 1,p ( $Ω$ ) vanishes…