[1]何梅.R3的射丛上方程uxx+uyy+λu~p=0的不变群和不变解[J].南京师范大学学报(自然科学版),2009,32(01):35-38.
 He Mei.Invariant Groups and Invariant Solutions of Equation uxx+uyy+λup=0 on Jet Bundle R3[J].Journal of Nanjing Normal University(Natural Science Edition),2009,32(01):35-38.
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R3的射丛上方程uxx+uyy+λu~p=0的不变群和不变解()
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《南京师范大学学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]

卷:
第32卷
期数:
2009年01期
页码:
35-38
栏目:
数学
出版日期:
2009-03-30

文章信息/Info

Title:
Invariant Groups and Invariant Solutions of Equation uxx+uyy+λup=0 on Jet Bundle R3
作者:
何梅;
淮阴师范学院数学系, 江苏淮安223300
Author(s):
He Mei
Department of Mathematics,Huaiyin Teachers College,Huaian 223300,China
关键词:
射流空间 对称群 群不变解 无穷小生成元
Keywords:
jet space symm etry g roup g roup- invar iant so lution infin itesim al generator
分类号:
O175.4
摘要:
利用PDE在Lie群下的不变性理论研究了方程uxx+uyy+λup=0在不变群下的不变解,得到相应的一些几何不变群,并给出方程在不变群下的不变形式和不变解.
Abstract:
By us ing the invar iance o f a PDE, the invarian t g roups adm itted by equation uxx + uyy + up = 0 on jet bundle a re stud ied. In finitesim a l g enerators o f the co rresponding geom e tric invariant g roups are obta ined. And the invar iant form s and a fam ily of g roup- invar iant so lutions are also g iv en.

参考文献/References:

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备注/Memo

备注/Memo:
基金项目: 江苏省普通高校自然科学研究计划( 08KJB110002)、淮阴师范学院青年教师基金( 06H SQN080)资助项目.
通讯联系人: 何梅, 讲师, 研究方向: 几何分析. E-mail:hemei94@ 126. com
更新日期/Last Update: 2013-04-23