|
An analyticity criterion for regularized semigroups
Author(s):
Quan
Zheng;
Yongsheng
Zhao
Journal:
Proc. Amer. Math. Soc.
130
(2002),
2271-2274.
MSC (2000):
Primary 47D62
Posted:
March 15, 2002
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
A generalization of Kato's analyticity criterion for  -semigroups to exponentially bounded regularized semigroups is given by using the method of Laplace transforms.
References:
-
- 1.
- R. deLaubenfels, Existence Families, Functional Calculi and Evolution Equations, Lect. Notes in Math., Vol. 1570, Springer-Verlag, Berlin, 1994. MR 96b:47047
- 2.
- S. Kantorovitz, On Liu's analyticity criterion for semigroups, Semigroup Forum 53 (1996), 262-265. MR 97d:47042
- 3.
- T. Kato, Perturbation Theory for Linear Operators, 2nd. ed., Springer-Verlag, Berlin, 1976. MR 53:11389
- 4.
- Y. Liu, An equivalent condition for analytic
 -semigroups, J. Math. Anal. Appl. 180 (1993), 71-78. MR 94i:47062 - 5.
- F. Neubrander, Abstract elliptic operators, analytic interpolation semigroups and Laplace transforms of analytic functions, Semesterbericht Funktionalanalysis, Tübingen, Wintersemester 15 (1988/89), 163-185.
- 6.
- Q. Zheng, Controllability of a class of linear systems in Banach spaces, Proc. Amer. Math. Soc. 123 (1995), 1241-1251. MR 95e:93011
- 7.
- Q. Zheng and Y. Lei, Exponentially bounded
 -semigroups and integrated semigroups with nondensely defined generators III: Analyticity, Acta Math. Scientia 14 (1994), 107-119. MR 95m:47065
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(2000):
47D62
Retrieve articles in all Journals with MSC
(2000):
47D62
Additional Information:
Quan
Zheng
Affiliation:
Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China
Yongsheng
Zhao
Affiliation:
Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China
DOI:
10.1090/S0002-9939-02-06219-6
PII:
S 0002-9939(02)06219-6
Keywords:
Regularized semigroup,
analyticity,
abstract Laplace transform
Received by editor(s):
December 14, 1999
Received by editor(s) in revised form:
November 1, 2000
Posted:
March 15, 2002
Additional Notes:
This project was supported by the National Science Foundation of China and the Foundation for Excellent Young Teachers of China
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2002,
American Mathematical Society
|
Comments: webmaster@ams.org