吉林大学学报（理学版）2025，Vol.63Issue(3)：691-699,9.DOI:10.13413/j.cnki.jdxblxb.2024307
非自治波方程拉回吸引子的存在性
Existence of Pullback Attractors in Non-autonomous Wave Equation
摘要
Abstract
We considered the existence of pullback attractors in non-autonomous wave equations.Firstly,we proved the well-posedness of its solution according to the uniform sector operator theory.Secondly,the bounded dissipation of the process was obtained by constructing an appropriate functional.Finally,the asymptotic compactness of the process was verified according to the operator decomposition technique,and ultimately the existence of the pullback attractor was obtained.This study not only considers time-dependent damping,but also time-dependent diffusion and time-dependent nonlinear terms.When these time-dependent coefficients meet the appropriate conditions,the existence of the pullback attractor is proven.关键词
波方程/适定性/拉回吸引子/时间依赖系数/耗散性/紧性Key words
wave equation/well-posedness/pullback attractor/time-dependent coefficient/dissipation/compactness分类
数理科学引用本文复制引用
刘佳,张平,马巧珍..非自治波方程拉回吸引子的存在性[J].吉林大学学报（理学版）,2025,63(3):691-699,9.基金项目
国家自然科学基金(批准号:11961059)和青海省自然科学基金(批准号:2024-ZJ-931). （批准号:11961059）
