C-半群与耗散算子  

C-Semigroup and Dissipative Operator

作　　者：刘瑞[1] 卢雪 Liu Rui;Lu Xue(School of Mathematics and Computer Science,Yan＇an University,Yan an 716000,China)

机构地区：[1]延安大学数学与计算机科学学院

出　　处：《甘肃科学学报》2018年第5期33-35,共3页Journal of Gansu Sciences

基　　金：延安大学大学生创新创业计划训练项目(D2016103);延安大学科研计划项目(YDQ2017-06)

摘　　要：利用了C-半群的定义、生成元的概念、性质和C0-半群所具有的耗散算子的结论,主要讨论了稠定闭算子A的耗散性与压缩C-半群的生成之间的关系,得到了推广的Lumer-Phillips定理,丰富了C-半群的内容,对实际工作的研究也有重大的意义。This paper mainly discusses the relationship between the dissipation of condensed closed operators and the generation of contraction C 0 -semigroups by using the C -semigroup definition, concept and nature of generator, as well as the conclusion of A dissipative operator possessed by C -semigroup, obtains the generalized Lumer-Phillips theorem and enriches the C -semigroup contents, which has great significance for our actual research.

关 键 词：C-半群 生成元 耗散算子 

分 类 号：O177[理学—数学]