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

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math.AP2025

$H^{\infty}$ -calculus for Stokes operators on rough and on unbounded domains

Peer Christian Kunstmann, Patrick Tolksdorf

In this article, we give an overview on known as well as new results on the boundedness of the $H^{\infty}$ -calculus of the Stokes operator in rough as well as in unbounded (smooth…

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…

H∞-calculus for Stokes operators on rough and on unbounded domains

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

$H^{\infty}$ -calculus for Stokes operators on rough and on unbounded domains

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