Open AccessA new proof of a Harnack inequality for the curve shortening flow
Author(s) -
Mihai Băileșteanu
Publication year - 2018
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1710-46
Subject(s) - mathematics , harnack's inequality , harnack's principle , kappa , curvature , flow (mathematics) , mathematical analysis , pure mathematics , combinatorics , geometry
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 κt + 1 2tκ ≥ κs κ , where κ is the curvature of the curve being deformed by the flow.
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