一阶抽象Cauchy问题解的光滑性

Smoothness of Solutions for First Order Abstract Cauchy Problems

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.