广义抽象Cauchy问题的适定性  

Wellposedness of generalized Abstract Cauchy problems

作　　者：刘嫚[1] 宋晓秋[2] 廖大庆[1] 朱倩倩[1] 

机构地区：[1]徐州空军学院基础部,江苏徐州221000 [2]中国矿业大学理学院,江苏徐州221008

出　　处：《云南大学学报（自然科学版）》2009年第S1期182-185,188,共5页Journal of Yunnan University(Natural Sciences Edition)

基　　金：中国矿业大学科研基金资助项目(A200402)

摘　　要：给出了广义抽象Cauchy问题(简称GACP)适定性概念,并得到一些结论说明广义C半群与广义抽象Cauchy问题密切相关,随后给出了非齐次广义抽象Cauchy问题的强解和古典解的概念,得到了方程解的充分必要条件.The definitions of wellposedness of generalized Abstract Cauchy problems(GACP in short) is given and some conclutions to illuminate the relationship between generalized C-semigroups and GACP is drawn. Next the definitions of strong solution and classical solution about inhomo-geneous GACP is affered and the sufficient and necessary conditions concerning equation solutions are obtained.

关 键 词：广义C半群 广义抽象Cauchy问题 生成元 适定性 强解 古典解 

分 类 号：O177.2[理学—数学]