Sbornik. Mathematics, Tome 48 (1984) no. 2, pp. 565-585
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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/
@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 -
%0 Journal Article
%A I. M. Petrushko
%T On boundary values in $\mathscr L_p$, $p>1$, of solutions of elliptic equations in domains with a Lyapunov boundary
%J Sbornik. Mathematics
%D 1984
%P 565-585
%V 48
%N 2
%U http://geodesic.mathdoc.fr/item/SM_1984_48_2_a18/
%G en
%F SM_1984_48_2_a18
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.
