Optimization problem for Klein-Gordon equatio

In the thesis we consider a damped Klein-Gordon equation with a variable diffusion coefficient: uttt,x +autt,x- 1bx 1ut,x +dgut,x =ft,x ut,x&vbm0; x∈G=0,t∈ 0,T u0,x=y 0x,u t0,x=y1 x,x∈W, where the nonlinear term is g(u) = |u|gammau with the constant gamma satisfying 0≤g