主算子具非平凡核的抽象边值问题的适定性  

The Well-pose of Abstract Boundary Value Problem whose Main Operator Has Non-trivial Kernel

作　　者：吴开谡[1] 阳名珠[1] 莫小平[2] 

机构地区：[1]中国原子能科学研究院,北京102413 [2]贵州省都匀市黔南民族师范学院,贵州都匀558004

出　　处：《应用泛函分析学报》2002年第3期262-266,共5页Acta Analysis Functionalis Applicata

基　　金：本研究由国家基金10047001;19935030;10075078;国家重点基础研究规划项目G20000774资助

摘　　要：本文研究主算子具非平凡核时抽象边值问题的适定性问题,在较为一般的条件下,我们证明了 抽象边值问题是适定的.我们还研究了无穷远处边界条件的改变引起抽象边值问题出现多解问题,并 就两种不同的无穷远处边界条件讨论了方程的多解.In this paper, we investigate the well-pose problem of Abstract Boundary Value Problem whose main operator has non-trivial kernel. In general condition, we prove that Abstract Boundary Value Problem is well-pose. By the way, we research the multiple solution of Abstract Boundary Value Problem which is brought about by the transformation of boundary value in infinity', and discuss the multiple solution in two different boundary value in infinity.

关 键 词：抽象边值问题 多解 λ线性流形 

分 类 号：O177.2[理学—数学] O175.[理学—基础数学]