On Cauchy problem for Euler–Poisson–Darboux system with nilpotent matrix coefficient

Abstract

The solution of Cauchy problem for the system of Euler–Poisson–Darboux equations with nilpotent matrix coefficient of power m is obtained by the Riemann method. The Hadamard well-posedness theorem for the Cauchy problem solution is formulated.

Keywords

• riemann method
• cauchy problem
• euler–poisson–darboux system
• nilpotent matrix