S. Kharibegashvili

On the Global Solvability of the Cauchy Characteristic Problem for a Nonlinear Wave Equation in a Light Cone of the Future

abstract:
For a nonlinear wave equation occurring in relativistic quantum mechanics we investigate the problem on the global solvability of the Cauchy characteristic problem in a light cone of the future.

Mathematics Subject Classification: 35L05, 35L20, 35L70

Key words and phrases: Nonlinear wave equations, the Cauchy characteristic problem, global solvability of the problem