具有多项式记忆的非经典反应扩散方程全局吸引子的存在性

Existence of Global Attractors of Non-Classical Reaction-Diffusion Equation with Polynomial Memory

本文考虑具有多项式记忆的非经典反应扩散方程全局吸引子的存在性。首先利用Faedo-Garlerkin方法和能量估计获得了解的存在唯一性,接着证明了有界吸收集的存在性,最后得到全局吸引子的存在性。

In this paper, we consider existence of global attractors for non-classical reaction-diffusion equation with polynomial memory. We first obtain existence and uniqueness of the solution by using Faedo-Garlerkin method and energy estimation, then prove existence of bounded absorbing set, finally we get existence of the global attractors.