On the Cauchy problem for linear stochastic partial differential equations

The Cauchy problem for stochastic linear partial differential equations is studied. The basic result of the paper is a uniqueness and existence theorem for the solutions of equations of this type in Sobolev spaces $L_p(\Omega;C([0,T],W_p^m))$ ($m\geqslant1$, $p\geqslant2$).
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