局部均匀空间中波方程随时间变化的吸引子的存在性

Mathematics and Mechanics of Solids Pub Date : 2024-01-24 DOI:10.1177/10812865231219199

Xudong Luo, Qiaozhen Ma

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引用次数: 0

摘要

本文研究无界域中弱阻尼波方程的非自治动力学行为。首先，我们引入了随时间变化的局部均匀空间。然后，运用收缩函数方法证明了回拉渐近紧凑性。最后，我们得到了[公式：见正文]-时间相关的波方程吸引子的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Existence of time-dependent attractor of wave equation in locally uniform space

In this article, we study non-autonomous dynamical behavior of weakly damped wave equation in unbounded domain. First of all, we introduce the time-dependent locally uniform space. After that, the pullback asymptotical compactness is proved by applying the contractive function method. Eventually, we obtain the existence of [Formula: see text]-time-dependent attractor of wave equation.

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Mathematics and Mechanics of Solids

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