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math.PR2016★ 7 cited
Generation of interfaces for multi-dimensional stochastic Allen-Cahn equation with a noise smooth in space
Kai Lee
In this paper, we study the generation of interfaces for a stochastic Allen-Cahn equation with general initial value in the multi-dimensional case that external noise is given by Q…
math.PR2015★ 12 cited
Generation and motion of interfaces in one-dimensional stochastic Allen-Cahn equation
Kai Lee
In this paper we study a sharp interface limit for a stochastic reaction-diffusion equation. We consider the case that the noise is a space-time white noise multiplied by a small p…