局部n-次积分C半群与一类抽象柯西问题的C适定性  

Local n-Times Integrated C-Semigroups and C-Wellposedness of an Abstract Cauchy Problem

作　　者：王彩侠[1] 宋晓秋[1] 曹德侠[1] 田铅柱[1] 

机构地区：[1]中国矿业大学理学院,江苏徐州221008

出　　处：《中国矿业大学学报》2004年第3期356-359,共4页Journal of China University of Mining & Technology

摘　　要：引入了局部n-次积分C半群、生成元、次生成元的概念及其性质,并讨论了它们在有限区间内与一类抽象柯西问题适定性之间的关系,得出闭线性算子A(次)生成局部n-次积分C半群等价于相应的(ACP)是C适定的.The concepts and properties of local n-times integrated C-semigroups, generator, and subgenerator are introduced and its relations with C-wellposedness of an Abstract Cauchy Problem on a finite interval are investigated. The results show that a closed linear operator A(sub) generates local n-times integrated C-semigroups if and only if the associated (ACP) is C-wellposed.

关 键 词：局部n-次积分C半群 生成元 次生成元 C适定性 

分 类 号：O177.1[理学—数学]