Lipschitz区域上一类非自治时滞抛物方程的吸引子

Uniform Attractors for a Class of Non-autonomous Parabolic Equations with Delays in Lipschitz Domains

本文研究了Ljpschitz区域上的一类非自治时滞抛物方程,得到其整体解的存在唯一性,并通过构造乘积空间中的紧吸收集,在时间符号空间非紧的情形下证明了一致吸引子的存在性.

Our aim in this paper is to study the asymptotic behavior of a class of parabolic equations with delays in Lipschitz domains.Firstly the existence and uniqueness of solutions are obtained,and then by constructing the compact absorbing set in product space,we prove the existence of uniform attractors for the systems with symbols that is not translation compact.