Solvability of the Boundary Value Problem for a System of Parabolic Equations

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Solvability was confirmed for boundary value problems in parabolic equations with convection.
Key condition: existence and uniqueness of solutions were established under specified initial functions.
Analysis of these equations utilized the Levy parametrix method, focusing on almost periodic coefficients.
Results highlight critical insights on half-space boundary conditions and variable coefficients in differential equations.

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Analysis demonstrates the solvability of boundary value problems for parabolic equations, indicating the conditions for unique solutions.

Galiya Abdikalikova (2025) studied this question.

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