This article is cited in 1 paper

Short Communication
Differential Equations and Mathematical Physics

Well-posedness of a mixed type problem for the multidimensional hyperbolic-parabolic equation

S. A. Aldashev

Kazakh National Pedagogical University named after Abay, Almaty, 480100, Kazakhstan

Abstract: 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.

UDC: 517.955.2:517.956

MSC: 35M12, 35A02

Received: July 22, 2020
Revised: August 25, 2020
Accepted: September 14, 2020
First online: September 30, 2020

DOI: 10.14498/vsgtu1809

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