Abstract
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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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 17, Differential and Functional Differential Equations. Part 3, 2006.
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Sil’chenko, Y.T. A parabolic equation with nonlocal conditions. J Math Sci 149, 1701–1707 (2008). https://doi.org/10.1007/s10958-008-0090-4
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DOI: https://doi.org/10.1007/s10958-008-0090-4