Xu, Runzhang; Shen, Jihong - In: Mathematics and Computers in Simulation (MATCOM) 80 (2009) 4, pp. 804-807
In this paper we study the initial boundary value problem of wave equations with nonlinear damping and source terms:utt−Δu+a|ut|m−1ut=b|u|p−1u,x∈Ω,t0,u(x,0)=u0(x),ut(x,0)=u1(x),x∈Ω,u(x,t)=0,x∈∂Ω,t≥0,where Ω⊂RN is a suitably smooth bounded domain. We prove that for any a0...