%0 Journal Article
%T Tightness for a stochastic Allen--Cahn equation
%A Matthias R£żger
%A Hendrik Weber
%J Mathematics
%D 2009
%I arXiv
%X We study an Allen-Cahn equation perturbed by a multiplicative stochastic noise which is white in time and correlated in space. Formally this equation approximates a stochastically forced mean curvature flow. We derive uniform energy bounds and prove tightness of of solutions in the sharp interface limit, and show convergence to phase-indicator functions.
%U http://arxiv.org/abs/0911.5706v4