The Allen-Cahn equation with weakly critical random initial datum
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This work considers the two-dimensional Allen-Cahn equation ∂ t u = 1 2 Δ u + m u - u 3 , u ( 0 , x ) = η ( x ) , ∀ ( t , x ) ∈ [ 0 , ∞ ) × R 2 , where the initial condition η is a two-dimensional white ... ...