Generalised stochastic curvature flow in $d\ge 2$, and sharp interface limit for the stochastic Allen-Cahn equation with nonlinear diffusion

Weijun Xu, Shuhan Zhou

We construct the local-in-time solution of the generalised anisotropic direction-dependent curvature flow in dimension $d\ge 2$ forced by a white-in-time and smooth-in-space Gaus…