✦ LIBER ✦

Nonlocal Geometric Expansion of Convex Planar Curves

✍ Scribed by Ben Andrews; Mikhail Feldman

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 360 KB
Volume: 182
Category: Article
ISSN: 0022-0396
DOI: 10.1006/jdeq.2001.4107

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✦ Synopsis

We consider a class of nonlocal geometric equations for expanding curves in the plane, arising in the study of evolutions governed by Monge-Kantorovich mass transfer. We construct convex solutions, given convex initial data. In order to obtain such solutions, we develop a new version of Perron's method. We give applications to the problem of characterizing fast/slow diffusion limits.