四川大学学报(自然科学版)2017,Vol.54Issue(5):917-924,8.DOI:10.3969/j.issn.0490-6756.2017.05.004
带有非线性阻尼的非线性发展方程的时间依赖吸引子
Time-dependent global attractor of nonlinear evolution equation with nonlinear damping
摘要
Abstract
In this paper,we consider long-time behavior of solutions for the nonlinear evolution equation with nonlinear damping.With the theory of process on time-dependent spaces and some detailed estimates,we prove the existence of the time-dependent attractor for the nonlinear evolution equation with critical nonlinearity by using the contractive functions.关键词
非线性发展方程/非线性阻尼/时间依赖吸引子/压缩函数Key words
Nonlinear evolution equation/Nonlinear damping/Time-dependent attractor/Contractive functions分类
数理科学引用本文复制引用
刘亭亭,马巧珍..带有非线性阻尼的非线性发展方程的时间依赖吸引子[J].四川大学学报(自然科学版),2017,54(5):917-924,8.基金项目
国家自然科学基金(11561064,11361053) (11561064,11361053)
西北师范大学科研创新团队项目基金(NWNU-LKQN-14-6) (NWNU-LKQN-14-6)