scholarly journals Some Results on n-Times Integrated C-Regularized Semigroups

2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
Fang Li ◽  
Huiwen Wang ◽  
Zihai Qu
Keyword(s):  
Regularized Semigroups

scholarly journals Abstract parabolic systems and regularized semigroups

1998 ◽  
Vol 182 (1) ◽  
pp. 183-199 ◽  
Author(s):  
Quan Zheng ◽  
Yongsheng Li
Keyword(s):  
Parabolic Systems ◽  
Regularized Semigroups

Multiplicative Perturbations of Local C-Regularized Semigroups

2006 ◽  
Vol 72 (3) ◽  
pp. 375-386 ◽  
Author(s):  
Jin Liang ◽  
Ti-Jun Xiao ◽  
Fang Li
Keyword(s):  
Regularized Semigroups

Stability of C-regularized Semigroups

2004 ◽  
Vol 20 (5) ◽  
pp. 821-828 ◽  
Author(s):  
Miao Li ◽  
Quan Zheng
Keyword(s):  
Regularized Semigroups

Iteration regularized semigroups of set-valued functions

2016 ◽  
Vol 22 (2) ◽  
Author(s):  
Masoud Mosallanezhad ◽  
Mohammad Janfada
Keyword(s):  
Regularized Semigroups

AbstractIn this paper, a set-valued iteration regularized semigroup, i.e. a familywill be considered, where

scholarly journals An analyticity criterion for regularized semigroups

2002 ◽  
Vol 130 (8) ◽  
pp. 2271-2274
Author(s):  
Quan Zheng ◽  
Yongsheng Zhao
Keyword(s):  
Regularized Semigroups

scholarly journals Regularization of some classes of ultradistribution semigroups and sines

2010 ◽  
Vol 87 (101) ◽  
pp. 9-37 ◽  
Author(s):  
Marko Kostic
Keyword(s):  
Linear Operator ◽  
Higher Order ◽  
Cosine Function ◽  
Closed Linear Operator ◽  
Cauchy Problems ◽  
Ultradifferentiable Functions ◽  
Injective Operator ◽  
Regularized Semigroups ◽  
Abstract Cauchy Problems

We systematically analyze regularization of different kinds of ultradistribution semigroups and sines, in general, with nondensely defined generators and contemplate several known results concerning the regularization of Gevrey type ultradistribution semigroups. We prove that, for every closed linear operator A which generates an ultradistribution semigroup (sine), there exists a bounded injective operator C such that A generates a global differentiable C-semigroup (C-cosine function) whose derivatives possess some expected properties of operator valued ultradifferentiable functions. With the help of regularized semigroups, we establish the new important characterizations of abstract Beurling spaces associated to nondensely defined generators of ultradistribution semigroups (sines). The study of regularization of ultradistribution sines also enables us to perceive significant ultradifferentiable properties of higher-order abstract Cauchy problems.

scholarly journals Multiplicative perturbations of C-regularized semigroups

2001 ◽  
Vol 41 (10-11) ◽  
pp. 1215-1221 ◽  
Author(s):  
Ti-Jun Xiao ◽  
Jin Liang
Keyword(s):  
Regularized Semigroups
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