Notes on the Propagators of Evolution Equations

Advances in Difference Equations

Jin Liang¹  Yu Lin²  Ti-Jun Xiao³ 

[1] Department of Mathematics, Shanghai Jiao Tong University, Shanghai, China;Department of Mathematics, University of Science and Technology of China, Hefei, China;Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, Shanghai, China

关键词: Banach Space;    Linear Operator;    Evolution Equation;    Supremum Norm;    Infinitesimal Generator;   

DOI  :  10.1155/2010/795484

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We consider the propagator of an evolution equation, which is a semigroup of linear operators. Questions related to its operator norm function and its behavior at the critical point for norm continuity or compactness or differentiability are studied.

【 授权许可】

CC BY