不变集合和解的真空隔离  

The invariant set and the phenomenon of vacuum isolating

作　　者：张如[1] 唐贤芳[1] 郭秀芳[1] 

机构地区：[1]西北工业大学,陕西西安710124

出　　处：《科技成果管理与研究》2010年第7期94-100,共7页Management And Research On Scientific & Technological Achievements

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。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.

关 键 词：不变集合 解的真空隔离 

分 类 号：O175[理学—数学]