%0 Journal Article %T Generation of interface for an Allen-Cahn equation with nonlinear diffusion %A Matthieu Alfaro %A Danielle Hilhorst %J Mathematics %D 2009 %I arXiv %X 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. %U http://arxiv.org/abs/0909.3503v1