Speed-controlling gradient flows for knot energies, and analyticity of critical knots
Dissertation
Banach gradient flows for various families of knot energies
To appear in Journal of Evolution Equations
arXiv:2204.13603 [Classical Analysis and ODEs (math.CA)]
On the Analyticity of Critical Points of the Generalized Integral Menger Curvature in the Hilbert Case
Nonlinear Analysis
doi:10.1016/j.na.2022.112858
arXiv:2103.07383 [Analysis of PDEs (math.AP)]
A speed preserving Hilbert gradient flow for generalized integral Menger curvature
Advances in Calculus of Variations
doi:10.1515/acv-2021-0037
arXiv:2103.10408 [Classical Analysis and ODEs (math.CA)]
Vgl. auch:
Zweitveröffentlichung (Open Access)
On the analyticity of critical points for the generalized integral Menger curvature in the Hilbert case
MFO Report No. 37/2020