K. Koch

collaborators

2 papers

math.AP2026

Thresholding Scheme for the Half-Harmonic Map Heat Flow

Kilian Koch, Christof Melcher, Endre Süli

We propose a thresholding scheme for the half-harmonic map heat flow from the flat torus $T^{d}$ into the unit sphere $S^{m}$ in $R^{m + 1}$ , whose iterates ar…

math.AP2025

Well-posedness of half-harmonic map heat flows for rough initial data

Kilian Koch, Christof Melcher

We adopt the Koch-Tataru theory for the Navier-Stokes equations, based on Carleson measure estimates, to develop a scaling-critical low-regularity framework for half-harmonic map h…