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. 
@article{VSGTU_2020_24_3_a7,
     author = {S. A. Aldashev},
     title = {Well-posedness of a mixed type problem for the multidimensional hyperbolic-parabolic equation},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {574--582},
     publisher = {mathdoc},
     volume = {24},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2020_24_3_a7/}
}
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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/