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

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