On front propagation problems with nonlocal terms

Pierre Cardaliaguet

Abstract

We investigate the evolution of compact hypersurfaces of $\mathbb R^N$ depending, not only on terms of curvature of the surface, but also on non local terms such as the measure of the set enclosed by the surface. We present some existence and convexity results for such motions, even for evolutions which do not preserve the inclusion of the initial surfaces.

Article information

Source
Adv. Differential Equations, Volume 5, Number 1-3 (2000), 213-268.

Dates
First available in Project Euclid: 27 December 2012