In this note, we consider a nonlinear diffusion equation with a bistable reaction term arising in population dynamics. Given a rather general initial data, we investigate its behavior for small times as the reaction coefficient tends to infinity: we prove a generation of interface property.
@article{arxiv.0909.3503,
title = {Generation of interface for an Allen-Cahn equation with nonlinear diffusion},
author = {Matthieu Alfaro and Danielle Hilhorst},
journal= {arXiv preprint arXiv:0909.3503},
year = {2009}
}