On boundary values in $\mathscr L_p$, $p>1$, of solutions of elliptic equations in domains with a Lyapunov boundary
Sbornik. Mathematics, Tome 48 (1984) no. 2, pp. 565-585
Cet article a éte moissonné depuis la source Math-Net.Ru
Necessary and sufficient conditions are established for the existence of limits in the $\mathscr L_p$ sense, $p>1$, on the boundary of a domain, of solutions of second order elliptic equations in domains with Lyapunov boundaries. Bibliography: 8 titles.
@article{SM_1984_48_2_a18,
author = {I. M. Petrushko},
title = {On boundary values in $\mathscr L_p$, $p>1$, of solutions of elliptic equations in domains with {a~Lyapunov} boundary},
journal = {Sbornik. Mathematics},
pages = {565--585},
year = {1984},
volume = {48},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1984_48_2_a18/}
}
TY - JOUR AU - I. M. Petrushko TI - On boundary values in $\mathscr L_p$, $p>1$, of solutions of elliptic equations in domains with a Lyapunov boundary JO - Sbornik. Mathematics PY - 1984 SP - 565 EP - 585 VL - 48 IS - 2 UR - http://geodesic.mathdoc.fr/item/SM_1984_48_2_a18/ LA - en ID - SM_1984_48_2_a18 ER -
I. M. Petrushko. On boundary values in $\mathscr L_p$, $p>1$, of solutions of elliptic equations in domains with a Lyapunov boundary. Sbornik. Mathematics, Tome 48 (1984) no. 2, pp. 565-585. http://geodesic.mathdoc.fr/item/SM_1984_48_2_a18/