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Nonlocal geometric expansion of convex Planar Curves

Andrews, Benjamin; Feldman, Mikhail

Description

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.

CollectionsANU Research Publications
Date published: 2002
Type: Journal article
URI: http://hdl.handle.net/1885/71946
Source: Journal of Differential Equations
DOI: 10.1006/jdeq.2001.4107

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