Geodesic
Existence of boundary values of~solutions of elliptic equations in a~strip
Sbornik. Mathematics, Tome 203 (2012) no. 1, pp. 60-74

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

Given a linear constant-coefficient elliptic equation of arbitrary order on a two-dimensional strip, a criterion is obtained for the existence of the mean-square limits of its solutions on the boundary of the strip. Bibliography: 2 titles.
Keywords: boundary value, Hilbert space, projection operator.
Mots-clés : elliptic equation 
@article{SM_2012_203_1_a2,
     author = {V. P. Mikhailov},
     title = {Existence of boundary values of~solutions of elliptic equations in a~strip},
     journal = {Sbornik. Mathematics},
     pages = {60--74},
     publisher = {mathdoc},
     volume = {203},
     number = {1},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2012_203_1_a2/}
}
TY  - JOUR
AU  - V. P. Mikhailov
TI  - Existence of boundary values of~solutions of elliptic equations in a~strip
JO  - Sbornik. Mathematics
PY  - 2012
SP  - 60
EP  - 74
VL  - 203
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2012_203_1_a2/
LA  - en
ID  - SM_2012_203_1_a2
ER  - 
%0 Journal Article
%A V. P. Mikhailov
%T Existence of boundary values of~solutions of elliptic equations in a~strip
%J Sbornik. Mathematics
%D 2012
%P 60-74
%V 203
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2012_203_1_a2/
%G en
%F SM_2012_203_1_a2
V. P. Mikhailov. Existence of boundary values of~solutions of elliptic equations in a~strip. Sbornik. Mathematics, Tome 203 (2012) no. 1, pp. 60-74. http://geodesic.mathdoc.fr/item/SM_2012_203_1_a2/