Geodesic
On boundary and initial conditions in $\mathscr L_p$, $p>1$, of solutions of parabolic equations
Sbornik. Mathematics, Tome 53 (1986) no. 2, pp. 489-522

Voir la notice de l'article provenant de la source Math-Net.Ru

Necessary and sufficient conditions on the solutions of parabolic equations in a cylinder are established for the existence of limits in $\mathscr L_p$ on the lateral surface of the cylinder and in $\mathscr L_p$ with a weight on its lower base. Bibliography: 9 titles. 
@article{SM_1986_53_2_a12,
     author = {I. M. Petrushko},
     title = {On boundary and initial conditions in $\mathscr L_p$, $p>1$, of solutions of parabolic equations},
     journal = {Sbornik. Mathematics},
     pages = {489--522},
     publisher = {mathdoc},
     volume = {53},
     number = {2},
     year = {1986},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1986_53_2_a12/}
}
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%G en
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I. M. Petrushko. On boundary and initial conditions in $\mathscr L_p$, $p>1$, of solutions of parabolic equations. Sbornik. Mathematics, Tome 53 (1986) no. 2, pp. 489-522. http://geodesic.mathdoc.fr/item/SM_1986_53_2_a12/