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不变集合和解的真空隔离
引用本文:张如,唐贤芳,郭秀芳.不变集合和解的真空隔离[J].科技成果管理与研究,2010(7):94-100.
作者姓名:张如  唐贤芳  郭秀芳
作者单位:西北工业大学,陕西,西安,710124
摘    要:这篇文章利用位势井族理论,研究了整体解的不变性,进而研究了解的真空隔离现象。在本文中将真空隔离现象的条件进行了推广和改进,得出了新的结论。这些结论对研究Sobolev空间中解的分布情况有很大帮助。

关 键 词:不变集合  解的真空隔离

The invariant set and the phenomenon of vacuum isolating
ZHANG Ru,TANG Xian-fang,GUO Xin-fang.The invariant set and the phenomenon of vacuum isolating[J].Management and Research on Scientific & Technological Achievements,2010(7):94-100.
Authors:ZHANG Ru  TANG Xian-fang  GUO Xin-fang
Institution:(Northwestem Polytechnical University, Xian 710124,China)
Abstract:It introduces a family of potential wells and its corresponding sets and gives a series of their properties. It studies the invariance of the overall solution. Further research to understand the phenomenon of vacuum isolating solutions.Then it proves the invariance of some sets and isolating solutions. It improves the conditions of the phenomenon of vacuum isolating to draw new conclusions.The new conclusions are important to study Sobolev space.
Keywords:invariant set  vacuum isolating
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