论文标题

无限谐波电位的梯度流

The Gradient Flow of Infinity-Harmonic Potentials

论文作者

Lindgren, Erik, Lindqvist, Peter

论文摘要

我们研究了平面凸环中$ \ infty $ harmonic功能的流线。我们包括凸多边形。流线可以满足的点是表征的:它们位于某些曲线上。该梯度沿着精简的界线(Infinity-ridge)之外的流线路有恒定的规范。

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.

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