双连续n次积分C-半群与抽象Cauchy问题的C-适定性

J4 ›› 2012, Vol. 47 ›› Issue (6): 107-110.

双连续n次积分C-半群与抽象Cauchy问题的C-适定性

常胜伟,刘瑞

延安大学数学与计算机科学学院, 陕西延安 716000

收稿日期:2011-11-28 出版日期:2012-06-20 发布日期:2012-06-26
作者简介:常胜伟(1974- ),男,硕士,讲师,研究方向为应用泛函分析.Email:shhw1580@126.com
基金资助:
延安大学自然科学专项基金资助项目(YD201107);延安大学专项基金资助项目(YD200821)

Bi-continuous n-times integrated C-semigroups and C-wellposedness of an abstract Cauchy problem

CHANG Sheng-wei, LIU Rui

College of Mathematics and Computer Science of Yan’an University, Yan’an 716000, Shaanxi, China

Received:2011-11-28 Online:2012-06-20 Published:2012-06-26

摘要/Abstract

摘要：

讨论了双连续n次积分C-半群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)生成双连续n次积分C-半群等价于相应的(ACP)是C适定的。

关键词: 双连续n次积分C-半群;生成元;柯西问题;C-适定性

Abstract:

The relations of bi-continuous n-times integrated C-semigroups and C-wellposedness of an Abstract Cauchy Problem(ACP) are discussed. A closed linear operator A(sub) generating bi-continuous n-times integrated C-semigroups is equivalent to (ACP) owing C-wellposedness.

Key words: bi-continuous n-times integrated; C-semigroups; generator; Cauchy problem; C-wellposedness

常胜伟,刘瑞. 双连续n次积分C-半群与抽象Cauchy问题的C-适定性[J]. J4, 2012, 47(6): 107-110.

CHANG Sheng-wei, LIU Rui. Bi-continuous n-times integrated C-semigroups and C-wellposedness of an abstract Cauchy problem[J]. J4, 2012, 47(6): 107-110.

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