6 citations · 8 across the 11 of their papers we have counts for
11 papers
Sharp angle estimates for second order divergence operators
Hannes Meinlschmidt, Joachim Rehberg
This article is about the (minimal) sector containing the numerical range of the principal part of a linear second-order elliptic differential operator defined by a form on closed…
Optimal control of quasilinear parabolic PDEs with gradient terms and pointwise constraints on the gradient of the state
Lucas Bonifacius, Fabian Hoppe, Hannes Meinlschmidt +1
We derive existence results and first order necessary optimality conditions for optimal control problems governed by quasilinear parabolic PDEs with a class of first order nonlinea…
Nonautonomous maximal parabolic regularity for nonsmooth quasilinear parabolic systems
Hannes Meinlschmidt
In this paper we are concerned with -maximal parabolic regularity for abstract nonautonomous parabolic systems and their quasilinear counterpart in negative Sobolev spaces inc…
Global-in-time solutions for quasilinear parabolic PDEs with mixed boundary conditions in the Bessel dual scale
Fabian Hoppe, Hannes Meinlschmidt, Ira Neitzel
We prove existence and uniqueness of global-in-time solutions in the --setting for abstract quasilinear parabolic PDEs with nonsmooth data and mixed boundary…
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…
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…