15 citations · 23 across the 15 of their papers we have counts for
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Differential Harnack inequalities via Concavity of the arrival time
Theodora Bourni, Mat Langford
We present a simple connection between differential Harnack inequalities for hypersurface flows and natural concavity properties of their time-of-arrival functions. We prove these…
On the construction of closed nonconvex nonsoliton ancient mean curvature flows
Theodora Bourni, Mathew Langford, Alexander Mramor
We construct closed, embedded, ancient mean curvature flows in each dimension with the topology of . These examples are not mean convex and not soliton…
Convex ancient solutions to mean curvature flow
Theodora Bourni, Mat Langford, Giuseppe Tinaglia
X.-J. Wang proved a series of remarkable results on the structure of convex ancient solutions to mean curvature flow. Some of his results do not appear to be widely known, however,…
Convex ancient solutions to curve shortening flow
Theodora Bourni, Mat Langford, Giuseppe Tinaglia
We show that the only convex ancient solutions to curve shortening flow are the stationary lines, shrinking circles, Grim Reapers and Angenent ovals, completing the classification…