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

Showing 2019Show all

3 papers · 1 filter

math.AP2019

The Stokes resolvent problem: Optimal pressure estimates and remarks on resolvent estimates in convex domains

Patrick Tolksdorf

The Stokes resolvent problem $λ u - Δ u + \nabla ϕ = f$ with $div (u) = 0$ subject to homogeneous Dirichlet or homogeneous Neumann-type boundary conditions is investigated. In…

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.AP2019

The Navier--Stokes equations in exterior Lipschitz domains: $L^{p}$ -theory

Patrick Tolksdorf, Keiichi Watanabe

We show that the Stokes operator defined on $L_{σ}^{p} (Ω)$ for an exterior Lipschitz domain $Ω \subset R^{n}$ $(n \geq 3)$ admits maximal regularity provided that $p$ s…

The Stokes resolvent problem: Optimal pressure estimates and remarks on resolvent estimates in convex domains

Extendability of functions with partially vanishing trace

The Navier--Stokes equations in exterior Lipschitz domains: Lp-theory

The Navier--Stokes equations in exterior Lipschitz domains: $L^{p}$ -theory