In this paper, we discuss the asymptotic behavior of the Solution boundary value problems where ΩìR^n be a bounded domain which with smoth boundary Ω, λ>0 be a constant number. The main results of this paper are following theorem A. Thorem A. Let(φ,ψ)~T∈H^1(Ω)×L^2(Ω),then (1) exists unique Solution u∈C^(1)([0, ∞);H^(Ω)), j=0,1, and where|||u|||_(1,)=||u||_H′()+||u_(||_L^2, |Ω| be the measure of Ω.
