Geodesic
On the Cauchy problem for linear stochastic partial differential equations
Izvestiya. Mathematics , Tome 11 (1977) no. 6, pp. 1267-1284

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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 $L_p(\Omega;C([0,T],W_p^m))$ ($m\geqslant1$, $p\geqslant2$). Bibliography: 12 titles. 
@article{IM2_1977_11_6_a5,
     author = {N. V. Krylov and B. L. Rozovskii},
     title = {On the {Cauchy} problem for linear stochastic partial differential equations},
     journal = {Izvestiya. Mathematics },
     pages = {1267--1284},
     publisher = {mathdoc},
     volume = {11},
     number = {6},
     year = {1977},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1977_11_6_a5/}
}
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%A B. L. Rozovskii
%T On the Cauchy problem for linear stochastic partial differential equations
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N. V. Krylov; B. L. Rozovskii. On the Cauchy problem for linear stochastic partial differential equations. Izvestiya. Mathematics , Tome 11 (1977) no. 6, pp. 1267-1284. http://geodesic.mathdoc.fr/item/IM2_1977_11_6_a5/