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Keywords:
Stochastic nonlocal reaction-diffusion equation, monotonicity method, conservation of mass
Summary:
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 \$\mathbb{R}^n\$ with a smooth boundary. We suppose that the additive noise is induced by a Q-Brownian motion.
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