Geodesic
On solvability of a linear parabolic problem with nonlocal boundary conditions
Contemporary Mathematics. Fundamental Directions, Dedicated to the memory of Professor N. D. Kopachevsky, Tome 67 (2021) no. 2, pp. 349-362

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A linear parabolic equation with boundary conditions of the Bitsadze–Samarskii type is considered. An existence and uniqueness theorem for a generalized solution is proved, and estimates are obtained. 
@article{CMFD_2021_67_2_a8,
     author = {O. V. Solonukha},
     title = {On solvability of a linear parabolic problem with nonlocal boundary conditions},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {349--362},
     publisher = {mathdoc},
     volume = {67},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2021_67_2_a8/}
}
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O. V. Solonukha. On solvability of a linear parabolic problem with nonlocal boundary conditions. Contemporary Mathematics. Fundamental Directions, Dedicated to the memory of Professor N. D. Kopachevsky, Tome 67 (2021) no. 2, pp. 349-362. http://geodesic.mathdoc.fr/item/CMFD_2021_67_2_a8/