Giorgi Dekanoidze and Sergo Kharibegashvili

On the Global Solvability of the First Darboux Problem for One Class of Nonlinear Second Order Hyperbolic Systems

abstract:
The first Darboux problem for one class of nonlinear second order hyperbolic systems is considered. The questions of the existence, uniqueness and smoothness of a global solution of this problem are considered.

Mathematics Subject Classification: 35L51, 35L71

Key words and phrases: Nonlinear hyperbolic system, first Darboux problem, existence, uniqueness and smoothness of a global solution