An analyticity criterion for regularized semigroups
Authors:
Quan Zheng and Yongsheng Zhao
Journal:
Proc. Amer. Math. Soc. 130 (2002), 2271-2274
MSC (2000):
Primary 47D62
DOI:
https://doi.org/10.1090/S0002-9939-02-06219-6
Published electronically:
March 15, 2002
MathSciNet review:
1896408
Full-text PDF
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.
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Y. Liu, An equivalent condition for analytic
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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:
https://doi.org/10.1090/S0002-9939-02-06219-6
Keywords:
Regularized semigroup,
analyticity,
abstract Laplace transform
Received by editor(s):
December 14, 1999
Received by editor(s) in revised form:
November 1, 2000
Published electronically:
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
Article copyright:
© Copyright 2002
American Mathematical Society