On the boundary values of solutions of parabolic equations
Sbornik. Mathematics, Tome 32 (1977) no. 3, pp. 347-370

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Necessary and sufficient conditions are established for a solution of a second order parabolic equation in a cylinder with smooth lateral boundary to have a limit in the mean on the lateral surface. Bibliography: 2 titles.
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     author = {I. M. Petrushko},
     title = {On the boundary values of solutions of parabolic equations},
     journal = {Sbornik. Mathematics},
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     number = {3},
     year = {1977},
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I. M. Petrushko. On the boundary values of solutions of parabolic equations. Sbornik. Mathematics, Tome 32 (1977) no. 3, pp. 347-370. http://geodesic.mathdoc.fr/item/SM_1977_32_3_a5/