具有衰退记忆的非自治弱耗散抽象发展方程的一致吸引子

Uniform attractors for the non-autonomous weak dissipation abstract evolution equations with fading memory

研究具有衰退记忆的非自治弱耗散抽象发展方程的长时间动力学行为,其中外力项f(x,t)仅满足条件(C*).当忽略粘性阻尼项时,证明了一致吸引子在空间Vθ×H×Lθμ(R+;Vθ)中的存在性.

The long-time dynamical behavior of the non-autonomous weak dissipation abstract evolution equations with fading memory is discussed,which the external forces f （x ,t）only satisfies condition （C＊） instead of translation compact. When viscoelastic damped term is neglected, the existence of uniform attractors in Vθ×H ×Lθμ（R ＋ ;Vθ）is shown.