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 
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/
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Voir la notice du chapitre de livre 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.

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