We investigate the diffusion equation ∂t ρ = Dy ∂y2 ρ + Dx ∂x2 ρ + D ̄xδ(y)∂xμρ subjected to the boundary conditions ρ(±∞, y; t) = 0 and ρ(x,±∞;t) = 0, and the initial condition ρ(x,y;0) = ρˆ(x,y). We obtain exact solutions in terms of the Green function approach and analyze the mean square displacement in the x and y directions. This analysis shows an anomalous spreading of the system which is characterized by different diffusive regimes connected to anomalous diffusion.


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