具有强阻尼的非自治 Kirchhoff 型波方程的时间依赖拉回吸引子
The Pullback Attractors forNon-Autonomous Kirchhoff-TypeWave Equation with Strong Damping
DOI: 10.12677/AAM.2022.117483, PDF, HTML,    国家自然科学基金支持
作者: 田凯鸿, 汪 璇*：西北师范大学，数学与统计学院，甘肃 兰州
关键词: 收缩函数；时间依赖拉回吸引子；强阻尼；Kirchhoff波方程；Contraction Function； The Time Dependent Pullback Attractors； Strong Damping； Kirchhoff Wave Equation
摘要: 本文研究了带有强阻尼和非线性扰动的非自治 Kirchhoff 波方程解的渐近性。运用收缩函数和渐近先验估计的方法验证了时间依赖拉回吸引子的存在性。
Abstract: In this paper, we study the asymptotic behavior of solutions of Non-autonomous Kirchhoff-type wave equations with strong damping and nonlinear perturbations. The existence of time-dependent pullback attractors is verified by using contraction func- tion and asymptotic prior estimation.
文章引用：田凯鸿, 汪璇. 具有强阻尼的非自治 Kirchhoff 型波方程的时间依赖拉回吸引子[J]. 应用数学进展, 2022, 11(7): 4562-4577. https://doi.org/10.12677/AAM.2022.117483

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