A. T. ter Elst

activity

20112022

collaborators

4 papers

math.AP2022

A Friedlander type estimate for Stokes operators

C. Denis, A. F. M. ter Elst

Let $Ω \subset R^{d}$ be a bounded open connected set with Lipschitz boundary. Let $A^{N}$ and $A^{D}$ be the Neumann Stokes operator and Dirichlet Stokes operator on $Ω$ , respec…

math.AP2019

Strict positivity for the principal eigenfunction of elliptic operators with various boundary conditions

Wolfgang Arendt, A. F. M. ter Elst, Jochen Glück

We consider elliptic operators with measurable coefficients and Robin boundary conditions on a bounded domain $Ω \subset R^{d}$ and show that the first eigenfunction $v$ sati…

math.AP2018

$L^{\infty}$ -estimates for the Neumann problem on general domains

A. F. M. ter Elst, Hannes Meinlschmidt, Joachim Rehberg

Let $Ω \subset R^{d}$ be bounded open and connected. Suppose that $W^{1, 2} (Ω) \subset L^{r} (Ω)$ for some $r > 2$ . Let $A$ be a pure second-order elliptic differential operator…

math.AP2011

From forms to semigroups

Wolfgang Arendt, A. F. M. ter Elst

Form methods give a very efficient tool to solve evolutionary problems on Hilbert space. They were developed by T. Kato [Kat] and, in slightly different language by J.L. Lions. In…

A Friedlander type estimate for Stokes operators

Strict positivity for the principal eigenfunction of elliptic operators with various boundary conditions

L∞-estimates for the Neumann problem on general domains

From forms to semigroups

$L^{\infty}$ -estimates for the Neumann problem on general domains