Nonlocal Geometric Expansion of Convex Planar Curves

The full text article is not available for purchase.

The publisher only permits individual articles to be downloaded by subscribers.

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).

Document Type: Research Article

Affiliations: 1: Centre for Mathematics and Its Applications, Australian National University, ACT 0200, Australia 2: Department of Mathematics, University of Wisconsin, Madison, Wisconsin, 53706

Publication date: July 1, 2002

Related content

Tools

Favourites

Share Content

Access Key

Free Content
Free content
New Content
New content
Open Access Content
Open access content
Subscribed Content
Subscribed content
Free Trial Content
Free trial content
Cookie Policy
X
Cookie Policy
ingentaconnect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more