关于全局吸引子的一个新的存在性定理以及它对于非经典扩散方程的应用（英文）

作者：QIN Yu-ming; CHEN Jia-le; JIANG Hui-te

来源：数学季刊, 2023, 38(03): 276-289.

DOI：10.13371/j.cnki.chin.q.j.m.2023.03.003

In this paper, we first survey existed theorems and propose all 46 related open problems of the existence of global attractors for autonomous dynamical systems, then establish a new existence theorem of global attractors which will be applied to a nonclassical diffusion equation for the norm-to-weak continuous, weakly compact semigroup on H01(?)and H2(?) ∩ H01(?) respectively. As an application of this new existence theorem of global attractors, we obtain the existence of the global attractors on H01(?) and H2(?) ∩ H01(?) respectively for a nonclassical-diffusion equation.

• 单位
  东华大学