The Gradient Flow of Infinity-Harmonic Potentials
Analysis of PDEs
2020-06-30 v1
Abstract
We study the streamlines of -harmonic functions in planar convex rings. We include convex polygons. The points where streamlines can meet are characterized: they lie on certain curves. The gradient has constant norm along streamlines outside the set of meeting points, the infinity-ridge.
Keywords
Cite
@article{arxiv.2006.15328,
title = {The Gradient Flow of Infinity-Harmonic Potentials},
author = {Erik Lindgren and Peter Lindqvist},
journal= {arXiv preprint arXiv:2006.15328},
year = {2020}
}