Geodesic
Well-posedness of a mixed type problem for the multidimensional hyperbolic-parabolic equation
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 24 (2020) no. 3, pp. 574-582.

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We consider the modeling multidimensional hyperbolic-parabolic equation in the cylindrical area of Euclidean space and formulate the mixed problem with non-homogeneous boundary conditions for it. We show the unique solvability of the problem for the class of continuously differentiable functions and give a way to construct its explicit classical solution.
Keywords: well-posedness of mixed type problem, hyperbolic-parabolic equation, cylindrical area, Bessel functions. 
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S. A. Aldashev. Well-posedness of a mixed type problem for the multidimensional hyperbolic-parabolic equation. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 24 (2020) no. 3, pp. 574-582. http://geodesic.mathdoc.fr/item/VSGTU_2020_24_3_a7/

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