Задача Коші для параболічних систем з виродженням на початковій гіперплощині

Abstract

The fundamental matrices of the solutions of the Cauchy problem for the parabolic systems with the degenerations on the initial hyperplane are constructed and investigated. The correct solvability of such systems with ordinary initial condition in the case of the weak degeneration and without initial data if degeneration is strong is determined with their help.