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A well-posedness result for a mass conserved Allen-Cahn equation with nonlinear diffusion

Kettani, Perla El;  Hilhorst, Danielle;  Lee, Kai — 2017

Proceedings of Equadiff 14

In this paper, we prove the existence and uniqueness of the solution of the initial boundary value problem for a stochastic mass conserved Allen-Cahn equation with nonlinear diffusion together with a homogeneous Neumann boundary condition in an open bounded domain of ℝ n with a smooth boundary. We suppose that the additive noise is induced by a Q-Brownian motion.

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