Helmholtz-Institute Ulm

output

20072026

most citedFAIR data enabling new horizons for materials research

252 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2023 · math.APShow all

4 papers · 2 filters

math.AP2023★ 1 cited

Singularities of the hyperbolic elastic flow: Convergence, quantization and blow-ups

Manuel Schlierf

We study the elastic flow of closed curves and of open curves with clamped boundary conditions in the hyperbolic plane. While global existence and convergence toward critical point…

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…

math.AP2023★ 3 cited

On the convergence of the Willmore flow with Dirichlet boundary conditions

Manuel Schlierf

Very little is yet known regarding the Willmore flow of surfaces with Dirichlet boundary conditions. We consider surfaces with a rotational symmetry as initial data and prove a glo…

Singularities of the hyperbolic elastic flow: Convergence, quantization and blow-ups

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

The Perron solution for elliptic equations without the maximum principle

On the convergence of the Willmore flow with Dirichlet boundary conditions

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