Nonlocal geometric expansion of convex planar curves

5Citations
Citations of this article
8Readers
Mendeley users who have this article in their library.

Abstract

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. © 2002 Elsevier Science (USA).

Cite

CITATION STYLE

APA

Andrews, B., & Feldman, M. (2002). Nonlocal geometric expansion of convex planar curves. Journal of Differential Equations, 182(2), 298–343. https://doi.org/10.1006/jdeq.2001.4107

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free