M. Sauter

activity

20132023

most citedA generalisation of the form method for accretive forms and operators

11 citations · 24 across the 7 of their papers we have counts for

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Showing 2023 · math.APShow all

2 papers · 2 filters

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 $L_{p}$