华东师范大学学报（自然科学版） >

2017 , Vol. 2017 >Issue 2: 8 - 19

DOI: https://doi.org/10.3969/j.issn.1000-5641.2017.02.002

数学

无阻尼弱耗散抽象发展方程的强全局吸引子

  • 张玉宝 ,
  • 汪璇
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  • 西北师范大学 数学与统计学院, 兰州 730070
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

收稿日期: 2016-03-08

  网络出版日期: 2017-03-23

基金资助

国家自然科学基金（11361053）；甘肃省自然科学基金（145RJZA112）

收起

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

  • ZHANG Yu-bao ,
  • WANG Xuan
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  • College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Received date: 2016-03-08

  Online published: 2017-03-23

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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V2θ×Vθ×Lμ2（R+；V2θ）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

本文引用格式

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 . DOI: 10.3969/j.issn.1000-5641.2017.02.002

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 V2θ×Vθ×Lμ2(R+;V2θ was obtained when the nonlinear term satisfies the weaker dissipative condition.

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

参考文献

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