H. Meinlschmidt

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20182022

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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 $L^{p}$

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.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…

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

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

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

L∞-estimates for the Neumann problem on general domains

On the numerical range of second order elliptic operators with mixed boundary conditions in $L^{p}$

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