无阻尼弱耗散抽象发展方程的强全局吸引子

doi:10.3969/j.issn.1000-5641.2017.02.002

华东师范大学学报(自然科学版) ›› 2017, Vol. 2017 ›› Issue (2): 8-19.doi: 10.3969/j.issn.1000-5641.2017.02.002

无阻尼弱耗散抽象发展方程的强全局吸引子

张玉宝, 汪璇

西北师范大学数学与统计学院, 兰州 730070

收稿日期:2016-03-08 出版日期:2017-03-25 发布日期:2017-03-23
通讯作者: 汪璇,女,博士,教授,研究方向为非线性微分方程和无穷维动力系统.E-mail:wangxuan@nwnu.edu.cn E-mail:wangxuan@nwnu.edu.cn
作者简介:张玉宝,男,硕士研究生,研究方向为无穷维动力系统及其应用.E-mail:blcx07@gmail.com
基金资助:
国家自然科学基金（11361053）；甘肃省自然科学基金（145RJZA112）

Strong global attractors for non-damping weak dissipative abstract evolution equation

ZHANG Yu-bao, WANG Xuan

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Received:2016-03-08 Online:2017-03-25 Published:2017-03-23

摘要/Abstract

摘要：

运用半群理论、收缩函数理论和定义泛函的方法，当非线性项满足较弱的耗散型条件时，在空间V_2θ×V_θ×L_μ²（R⁺；V_2θ）中得到了无阻尼弱耗散抽象发展方程的强全局吸引子的存在性.

关键词: 抽象发展方程, 收缩函数, 全局吸引子

Abstract:

In this paper, by using the theory of semigroup, contractive function and the method of defining functionals, the existence of the global attractors for nondamping weak dissipative abstract evolution equations with strong solutions in the space V_2θ×V_θ×L_μ²(R⁺;V_2θ was obtained when the nonlinear term satisfies the weaker dissipative condition.

Key words: abstract evolution equation, contractive function, global attractor

中图分类号:

O175.29

张玉宝, 汪璇. 无阻尼弱耗散抽象发展方程的强全局吸引子[J]. 华东师范大学学报(自然科学版), 2017, 2017(2): 8-19.

ZHANG Yu-bao, WANG Xuan. Strong global attractors for non-damping weak dissipative abstract evolution equation[J]. Journal of East China Normal University(Natural Sc, 2017, 2017(2): 8-19.

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无阻尼弱耗散抽象发展方程的强全局吸引子

Strong global attractors for non-damping weak dissipative abstract evolution equation

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