Patrick Tolksdorf

most citedOn the

L^{p}

-theory for second-order elliptic operators in divergence form with complex coefficients

5 citations · 6 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2019★ 5 cited

On the $L^{p}$ -theory for second-order elliptic operators in divergence form with complex coefficients

A. F. M. ter Elst, R. Haller-Dintelmann, J. Rehberg +1

Given a complex, elliptic coefficient function we investigate for which values of $p$ the corresponding second-order divergence form operator, complemented with Dirichlet, Neumann…

math.AP2016

$R$ -sectoriality of higher-order elliptic systems on general bounded domains

Patrick Tolksdorf

On bounded domains $Ω \subset R^{d}, d \geq 2$ , reaching far beyond the scope of Lipschitz domains, we consider an elliptic system of order $2 m$ in divergence form with com…

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…

On the Lp-theory for second-order elliptic operators in divergence form with complex coefficients

R-sectoriality of higher-order elliptic systems on general bounded domains

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

On the $L^{p}$ -theory for second-order elliptic operators in divergence form with complex coefficients

$R$ -sectoriality of higher-order elliptic systems on general bounded domains