非自治强阻尼波方程的时间依赖拉回吸引子
Time-Dependent Pullback Attractors of theNon-Autonomous Strongly-DampedWaveEquation
DOI: 10.12677/PM.2023.138231, PDF, 下载: 82  浏览: 123  国家自然科学基金支持
作者: 张 平:西北师范大学数学与统计学院,甘肃 兰州
关键词: 时间依赖拉回吸引子非自治波方程强阻尼Time-Dependent Pullback Attractors Non-Autonomous Wave Equation Strong Damping
摘要: 利用压缩函数的方法,证明了非自治强阻尼波方程对应过程的渐近紧性,从而得到该系统的时间依赖拉回吸引子的存在性。
Abstract: In this paper, we prove the asymptotic compactness of processes associated with the non-autonomous strongly-damped wave equation by using the method of contractive function, then, existence of time-dependent pullback attractor of non-autonomous dynamical systems is obtained.
文章引用:张平. 非自治强阻尼波方程的时间依赖拉回吸引子[J]. 理论数学, 2023, 13(8): 2248-2259. https://doi.org/10.12677/PM.2023.138231

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