C-半群和对抽象 Cauchy 问题的应用

C Semigroups and its Applications to Abstract Cauchy Problems

本文研究了Ｃ－半群的无穷小生成元定义中强弱极限的等价性及生成元的有关性质，讨论了Ｃ－半群在齐次与非齐次Ｃａｕｃｈｙ问题中的应用。

This paper studies the equivalence of strong and weak limits in definition of the infinitesimal generator of C semigroups and the related properties of the generator, and discusses the applications of C semigroups to homogeneous and inhomogeneous abstract Cauchy problems.