Sharp interface limit for $1$D stochastic Allen-Cahn equation in full
small noise regime
Sharp interface limit for $1$D stochastic Allen-Cahn equation in full
small noise regime
We study the sharp interface limit for the $1$D stochastic Allen-Cahn equation, and extend earlier work by Funaki to the full small noise regime. The main new idea is the construction of a series of functional correctors, which are designed to recursively cancel potential divergences. In addition, in order to …