Abstract

We offer a new 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 $\kappa_t+\frac{1}{2t}\kappa\geq\frac{\kappa_s^2}{\kappa}$, where $\kappa$ is the curvature of the curve being deformed by the flow.

DOI

10.3906/mat-1710-46

First Page

2621

Last Page

2630

Recommended Citation

BAILESTEANU, M (2018). A new proof of a Harnack inequality for the curve shortening flow. Turkish Journal of Mathematics 42 (5): 2621-2630. https://doi.org/10.3906/mat-1710-46

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