Matematičeskie zametki, Tome 10 (1971) no. 1, pp. 101-111
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Ya. I. Shatyro. Smoothness of solutions of certain singular second-order equations. Matematičeskie zametki, Tome 10 (1971) no. 1, pp. 101-111. http://geodesic.mathdoc.fr/item/MZM_1971_10_1_a13/
@article{MZM_1971_10_1_a13,
author = {Ya. I. Shatyro},
title = {Smoothness of solutions of certain singular second-order equations},
journal = {Matemati\v{c}eskie zametki},
pages = {101--111},
year = {1971},
volume = {10},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_10_1_a13/}
}
TY - JOUR
AU - Ya. I. Shatyro
TI - Smoothness of solutions of certain singular second-order equations
JO - Matematičeskie zametki
PY - 1971
SP - 101
EP - 111
VL - 10
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1971_10_1_a13/
LA - ru
ID - MZM_1971_10_1_a13
ER -
%0 Journal Article
%A Ya. I. Shatyro
%T Smoothness of solutions of certain singular second-order equations
%J Matematičeskie zametki
%D 1971
%P 101-111
%V 10
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1971_10_1_a13/
%G ru
%F MZM_1971_10_1_a13
Properties of solutions of a class of singular second-order equations are studied. It is proved that the smoothness of derivatives of a solution depends on the direction of differentiation. Inequalities analogous to those obtained by Shauder are derived for the second-order derivatives occurring in the equations.
