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arXiv · 1511.00196

Harnack inequalities for the curve shortening flow

Mihai Băileşteanu
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Abstract

We offer an algorithmic approach for determining Harnack quantities for the curve shortening flow and we show how, following this procedure, one can obtain Hamilton's Harnack inequality for this flow $κ_t + \frac{1}{2t}κ\geq \frac{κ_s^2}κ$, where $κ$ is the curvature of the curve being deformed by the flow.

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Mihai Băileşteanu. 2015-11-01. Harnack inequalities for the curve shortening flow. https://arxiv.org/abs/1511.00196

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