Abstract
We study a one-dimensional mixed problem for the heat equation, with time advance in nonlocal and non-self-adjoint boundary conditions, describing a real physical process. Under minimal conditions on the initial data, we prove its unique solvability and obtain an explicit representation for the solution.
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Russian Text © The Author(s), 2020, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, No. 3, pp. 29–47.
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Mammadov, Y.A., Ahmadov, H.I. A Mixed Problem for the Heat Equation with Advanced Time in Boundary Conditions. Russ Math. 64, 25–42 (2020). https://doi.org/10.3103/S1066369X20030032
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DOI: https://doi.org/10.3103/S1066369X20030032