Global Existence,Asymptotic Behavior and Uniform Attractors for a Third Order in Time Dynamics

一个关于时间三阶动力学模型解的整体存在性,渐近性和一致吸引子（英文）

In this paper, a third order（in time） partial differential equation in R^n is con-sidered. By using semigroup method and constructing Lyapunov function, we establish the global existence, asymptotic behavior and uniform attractors in nonhomogeneous case. In addition, we also obtain the results of well-uosedness in semilinear case.