M. Sauter

collaborators

2 papers

math.AP2023

Nittka's invariance criterion and Hilbert space valued parabolic equations in $L_{p}$

W. Arendt, A. F. M. ter Elst, M. Sauter

Nittka gave an efficient criterion on a form defined on $L_{2} (Ω)$ which implies that the associated semigroup is $L_{p}$ -invariant for some given $p \in (1, \infty)$ . We extend this cr…

math.AP2023

The Perron solution for elliptic equations without the maximum principle

W. Arendt, A. F. M. ter Elst, M. Sauter

In this article we consider the Dirichlet problem on a bounded domain $Ω \subset R^{d}$ with respect to a second-order elliptic differential operator in divergence form. We do n…

Nittka's invariance criterion and Hilbert space valued parabolic equations in Lp​

The Perron solution for elliptic equations without the maximum principle

Nittka's invariance criterion and Hilbert space valued parabolic equations in $L_{p}$