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On Solvability of a Linear Parabolic Problem with Nonlocal Boundary Conditions

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Abstract

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.

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Correspondence to O. V. Solonukha.

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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 67, No. 2, Dedicated to the memory of Professor N. D. Kopachevsky, 2021.

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Solonukha, O.V. On Solvability of a Linear Parabolic Problem with Nonlocal Boundary Conditions. J Math Sci 278, 139–151 (2024). https://doi.org/10.1007/s10958-024-06910-x

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