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We study the streamlines of $\infty$-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… Click to show full abstract
We study the streamlines of $\infty$-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:
infinity;
flow infinity;
gradient flow;
harmonic potentials;
infinity harmonic
Journal Title: Advances in Mathematics
Year Published: 2021
Link to full text (if available)
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Journal Title: Advances in Mathematics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!