- Turkish Journal of Mathematics
- Vol: 42 Issue: 5
- A new proof of a Harnack inequality for the curve shortening flow
A new proof of a Harnack inequality for the curve shortening flow
Authors : Mihai Bailesteanu
Pages : 2621-2630
View : 7 | Download : 6
Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords :