In this paper, we study the initial boundary value problem of semilinear wave equations: utt−Δu=up−1u, x Ω, t>0,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 bounded domain, 1
Keywords :
Semilinear wave equations , Existence , Global solutions , Vacuum isolating , Potential wells