Global Existence Of Solutions For Nonlinear Wave Equations Arising In Field Theory

This thesis is concentrated on the study of the mathematical model of optical rogue waves in vortex turbulence[9](?):where f(|E|2)=1-I|E|2/3,?=EIN=0,n=1,2.This thesis is divided to two parts.The first part is concentrated on the study of the global existence of solutions to the initial value problem(0.1)on Rn by the operator semi-group and a prior estimate.The second part is concentrated on the study of the global existence of solutions to the initial-boundary value problem of wave equations (?) in bounded domains(?),by the operator semi-group and a priori estimate.