DIRICHLET PROBLEM IN A CYLINDRICAL AREA FOR ONE CLASS OF MULTIDIMENSIONAL ELLIPTIC-PARABOLIC EQUATIONS
Ключевые слова:
solvability, mixed problem, multidimensional elliptic-parabolic equations, Bessel function.Аннотация
Boundary-value problems for degenerate elliptic-parabolic equations on the plane are studied quite
well ([1]). The correctness of the Dirichlet problem for degenerate multidimensional elliptic-parabolic equations with
degeneration of type and order was established in [3]. In the work for multidimensional elliptic-parabolic equations
with degeneration of type and order, the solvability is shown and an explicit form of the classical solution of the
Dirichlet problem is obtained.