activity
20072024
most citedOptimal Control of the Thermistor Problem in Three Spatial Dimensions

14 citations · 36 across the 16 of their papers we have counts for

collaborators

19 papers

math.AP2024

Bounded functional calculus for divergence form operators with dynamical boundary conditions

Tim Böhnlein, Moritz Egert, Joachim Rehberg

We consider divergence form operators with complex coefficients on an open subset of Euclidean space. Boundary conditions in the corresponding parabolic problem are dynamical, that…

math.AP2022

Hölder Regularity for Domains of Fractional Powers of Elliptic Operators with Mixed Boundary Conditions

Robert Haller, Hannes Meinlschmidt, Joachim Rehberg

This work is about global Hölder regularity for solutions to elliptic partial differential equations subject to mixed boundary conditions on irregular domains. There are two main r…

math.AP2020

On the numerical range of second order elliptic operators with mixed boundary conditions in

Ralph Chill, Hannes Meinlschmidt, Joachim Rehberg

We consider second order elliptic operators with real, nonsymmetric coefficient functions which are subject to mixed boundary conditions. The aim of this paper is to provide unifor…

math.AP2020

Extrapolated Elliptic Regularity and Application to the van Roosbroeck system of Semiconductors

Hannes Meinlschmidt, Joachim Rehberg

In this paper we present a general extrapolated elliptic regularity result for second order differential operators in divergence form on fractional Sobolev-type spaces of negative…

math.AP2019

On the numerical range of sectorial forms

Antonius Frederik Maria ter Elst, Joachim Rehberg, Alexander Linke

We provide a sharp and optimal generic bound for the angle of the sectorial form associated to a non-symmetric second-order elliptic differential operator with various boundary con…

math.AP2018

-estimates for the Neumann problem on general domains

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

Let be bounded open and connected. Suppose that for some . Let be a pure second-order elliptic differential operator…