A linear stochastic biharmonic heat equation: hitting probabilities

Consider the linear stochastic biharmonic heat equation on a d –dimen- sional torus ( d = 1 , 2 , 3 ), driven by a space-time white noise and with periodic boundary conditions: 0.1 ∂ ∂ t + ( - Δ ) 2 v ( t , x ) = σ W ˙ ( t , x ) , ( t , x ) ∈ ( 0 , T ] × T d , v ( 0 , x ) = v 0 ( x ) . We find the c...

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