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非经典反应扩散方程全局吸引子的分型维数

, PP. 211-215

Keywords: 非经典反应扩散方程,全局吸引子,分型维数,临界指数,衰退记忆

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Abstract:

研究了具有衰退记忆的非经典反应扩散方程的周期边值问题,通过应用一些最新结果,运用半群理论的方法和分型维数定理,获得了该方程当非线性项g(u)满足临界增长条件且g(x)∈C2(R,R)时其全局吸引子的分形维数是有限的,对文献的一些结果作了改进和推广.

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