摘要
引入单参数C-半群和双参数C0-半群,给出了更一般的双参数C-半群和无穷小生成元的定义,应用双参数半群与单参数半群的关系和双参数半群的性质,给出了双参数C-半群的阶全微分,偏微分,指数有界性,和双参数C-半群是由C、A1和A2唯一确定的闭稠定线性算子的一个充分条件.
According to the C-semigroup and two parameter C0-semigroups, this paper gives the definition of a more general two-parameter C-semigroup, infinitesimal generator, two parameter C-semigroup＇s total differential and partial differential. It is exponentially bounded.With the complement of C-semigroup＇s domains lichtung setes, proof the two parameter C-semigroups is uniquely determined by the C, A1 and A2, whose infinitesimal generator is densely defined and closed linear operator.
出处
《纯粹数学与应用数学》
CSCD
2013年第3期299-305,共7页
Pure and Applied Mathematics
基金
高水平论文专项基金(2012LWB53)
关键词
双参数C-半群
全微分
偏微分
指数有界
闭稠定线性算子
two parameter C-semigroups, total differential, partial differential, exponentially bounded,densely defined and closed linear operator
