In this paper, by Laplace transform version of the Trotter-Kato approximation theorem and the integrated C-semigroup introduced by Myadera, the authors obtained some Trotter-Kato approximation theorems on exponentiall...In this paper, by Laplace transform version of the Trotter-Kato approximation theorem and the integrated C-semigroup introduced by Myadera, the authors obtained some Trotter-Kato approximation theorems on exponentially bounded C-semigroups, where the range of C (and so the domain of the generator) may not be dense. The authors deduced the corresponding results on exponentially bounded integrated semigroups with nondensely generators. The results of this paper extended and perfected the results given by Lizama, Park and Zheng.展开更多
This paper concerns analytic integrated C-semigroups , analytic C-semigroups and analytic integrated semigroups with nondensely defined generators. The main purpose of this paper is to establish some generation theore...This paper concerns analytic integrated C-semigroups , analytic C-semigroups and analytic integrated semigroups with nondensely defined generators. The main purpose of this paper is to establish some generation theorems for these semigroups, which improve and perfect the related results given by Da Prato, deLaubenfels, Neubrander and others. Moreover, several perturbation theorems are also included.展开更多
基金This project is supported by the National Science Foundation of China.
文摘In this paper, by Laplace transform version of the Trotter-Kato approximation theorem and the integrated C-semigroup introduced by Myadera, the authors obtained some Trotter-Kato approximation theorems on exponentially bounded C-semigroups, where the range of C (and so the domain of the generator) may not be dense. The authors deduced the corresponding results on exponentially bounded integrated semigroups with nondensely generators. The results of this paper extended and perfected the results given by Lizama, Park and Zheng.
文摘This paper concerns analytic integrated C-semigroups , analytic C-semigroups and analytic integrated semigroups with nondensely defined generators. The main purpose of this paper is to establish some generation theorems for these semigroups, which improve and perfect the related results given by Da Prato, deLaubenfels, Neubrander and others. Moreover, several perturbation theorems are also included.
