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A parabolic equation with nonlocal conditions

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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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Authors and Affiliations

  1. Department of Functional Analysis and Operator Equations, Voronezh State University, Russia

    Yu. T. Sil’chenko

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  1. Yu. T. Sil’chenko
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Correspondence to Yu. T. Sil’chenko.

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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

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