一阶抽象Cauchy问题解的光滑性  

Smoothness of Solutions for First Order Abstract Cauchy Problems

作　　者：张宏伟 郑权[2] 

机构地区：[1]信阳师院数学系,信阳市464000 [2]华中理工大学数学系

出　　处：《信阳师范学院学报（自然科学版）》1993年第2期151-155,共5页Journal of Xinyang Normal University(Natural Science Edition)

摘　　要：本文将一阶线性Cauchy问题的可解性与适定性推广到了较一般情形,特别地指出了解的光滑性,本文还考虑了一阶非齐次Cauchy问题解的光滑性.In this paper, the solvability and the we11-posedness of the first-order Cauchy problem are genera lized to general cases. In particular, the smoothness of solution is pointed out and the smo-othness of the solutions for first-order inhomogeneous abstract Cauchy problems is also investigated.

关 键 词：光滑性 边值问题 线性 

分 类 号：O175.8[理学—数学]