Geodesic
A parabolic equation with nonlocal conditions
Contemporary Mathematics. Fundamental Directions, Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2005). Part 3, Tome 17 (2006), pp. 5-10

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

For a linear parabolic equation with the principal part in divergence form, a boundary-value problem with nonlocal (irregular) conditions of integral type is considered. Sufficient conditions of the unique solvability are found for the above-mentioned problem. 
@article{CMFD_2006_17_a0,
     author = {Yu. T. Sil'chenko},
     title = {A parabolic equation with nonlocal conditions},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {5--10},
     publisher = {mathdoc},
     volume = {17},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2006_17_a0/}
}
TY  - JOUR
AU  - Yu. T. Sil'chenko
TI  - A parabolic equation with nonlocal conditions
JO  - Contemporary Mathematics. Fundamental Directions
PY  - 2006
SP  - 5
EP  - 10
VL  - 17
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMFD_2006_17_a0/
LA  - ru
ID  - CMFD_2006_17_a0
ER  - 
%0 Journal Article
%A Yu. T. Sil'chenko
%T A parabolic equation with nonlocal conditions
%J Contemporary Mathematics. Fundamental Directions
%D 2006
%P 5-10
%V 17
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMFD_2006_17_a0/
%G ru
%F CMFD_2006_17_a0
Yu. T. Sil'chenko. A parabolic equation with nonlocal conditions. Contemporary Mathematics. Fundamental Directions, Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2005). Part 3, Tome 17 (2006), pp. 5-10. http://geodesic.mathdoc.fr/item/CMFD_2006_17_a0/