一些Banach空间内复Swift-Hohenberg方程的指数吸引子

摘要

Solving nonlinear equations has been an important issue in physics and mathematical. Existence of attractor has been demonstrated in weighted Sobolev spaces of Swift-Hohenberg equation. To analyze the attractor of Banach space in Swift-Hohenberg equation, existence of the Global Attractor was confirmed firstly, typing dimension was received secondly, and then M was structured by Efendive and Zelik results.%非线性方程的求解一直是数学以及物理学中的重要问题，在以往分析中已经得到在Swift-Hohenberg方程在加权Sobolev空间整体上吸引子的存在性，为分析Banach空间内复Swift-Hohenberg方程的指数吸引子，先证实整体吸引子的存在性，得到有效分型维数，构造M通过Efendive、Zelik结果。