Geodesic
The $L_2$-theory of generalized solutions of general linear model parabolic boundary value problems
Izvestiya. Mathematics , Tome 31 (1988) no. 2, pp. 273-305

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General linear model parabolic boundary value problems are studied (in a revised formulation) in the Sobolev spaces $\mathscr H^s(\Omega)$ ($-\infty$) of generalized functions (distributions) –the $L_2$-theory. The well-posed solvability of these problems in suitable function spaces is proved. Bibliography: 43 titles. 
@article{IM2_1988_31_2_a2,
     author = {N. V. Zhitarashu},
     title = {The $L_2$-theory of generalized solutions of general linear model parabolic boundary value problems},
     journal = {Izvestiya. Mathematics },
     pages = {273--305},
     publisher = {mathdoc},
     volume = {31},
     number = {2},
     year = {1988},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1988_31_2_a2/}
}
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N. V. Zhitarashu. The $L_2$-theory of generalized solutions of general linear model parabolic boundary value problems. Izvestiya. Mathematics , Tome 31 (1988) no. 2, pp. 273-305. http://geodesic.mathdoc.fr/item/IM2_1988_31_2_a2/