摘要
本文研究一类非自治发展方程的渐近行为,运用算子分解及分析技巧得到了系统解的渐近正则性,由此证明一致吸引子的存在性、正则性及其结构.其中非线性项满足临界指数增长,时间依赖的外力项仅假设是平移有界而不是平移紧的.
The dynamical behavior of non-autonomous evolution equations with critical nonlinearity and time-dependent external forcing is investigated.By applying the method of decomposing operator and analysis framework,the asymptotic regularity of solutions is proved,and then the existence of the compact uniform attractor together with its structure and regularity is obtained.It is valuable to notice that,the time-dependent external forcing is assumed to be only translation-bounded,instead of translation-compact.
出处
《应用数学》
CSCD
北大核心
2010年第4期876-883,共8页
Mathematica Applicata
基金
国家自然科学基金资助项目(10971226)
湖南省教育厅资助项目(06C103)
关键词
非自治发展方程
临界指数
渐近正则性
一致吸引子
Non-autonomous evolution equations
Critical exponent
Asymptotic regularity
Uniform attractor
