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半线性抛物方程在L~（2p）空间中全局吸引子的存在性（英文）
  • ISSN号：0255-7797
  • 期刊名称：《数学杂志》
  • 时间：0
  • 分类：O175.29[理学—数学;理学—基础数学]
  • 作者机构：[1]西安交通大学理学院,陕西西安710049, [2]西安科技大学理学院,陕西西安710054, [3]中国科学院国家授时中心,陕西西安710600
  • 相关基金：Supported by National Natural Science Foundation of China（10871156）
作者： 宋雪丽[1,2], 弓剑军[3]
关键词： 半线性抛物方程, 全局吸引子, 半群算子, Semilinear parabolic equations, global attractors, semigroup operator
中文摘要：

本文研究了半线性抛物方程所生成的半群{S（t）}t≥0的吸引子的存在性.利用文献[1]中证明吸引子正则性的思想,分别得到半群{S（t）}t≥0在L~（2p）（Ω）空间中具有一个有界吸收集和一个全局吸引子.

英文摘要：

In this article,we investigate the existence of attractor for the semigroup {S（t）}_（t≥0）,which is generated by the semilinear parabolic equation.By using the idea for the proof of regularity of the attractor in[1],we obtain a bounded absorbing set and a global attractor for semigroup {S（t）}_（t≥0） in L~（2p）（Ω）,respectively.

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期刊信息
  • 《数学杂志》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:武汉大学 湖北省数学学会 武汉数学学会
  • 主编：陈化
  • 地址：湖北武汉大学
  • 邮编：430072
  • 邮箱：jmath@whu.edu.cn
  • 电话：027-68754687
  • 国际标准刊号：ISSN：0255-7797
  • 国内统一刊号：ISSN：42-1163/O1
  • 邮发代号:38-71
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:3910