A note on -theory of linear stochastic parabolic partial differential systems

In this article we construct a W p γ -theory of linear stochastic parabolic partial differential systems. Here, p ∈ [ 2 , ∞ ) and γ ∈ ( − ∞ , ∞ ) . We also provide an example to show that for stochastic systems we need more restriction than the algebraic condition which ensures that diffusion survives against wild convection.