| 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） |
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| 作者姓名： | QIN Yu-ming CHEN Jia-le JIANG Hui-te |
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| 作者单位： | 1. Department of Mathematics, Donghua University |
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| 基金项目： | Supported by the NNSF of China (Grant No. 12171082);;The fundamental research funds for the central universities (Grant Nos. 2232022G-13 and 2232023G-13); |
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| 摘 要： | 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 attract...
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