Automatic extensions of local regularized semigroups and local regularized cosine functions
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- by Sheng Wang Wang and Ming Chu Gao
- Proc. Amer. Math. Soc. 127 (1999), 1651-1663
- DOI: https://doi.org/10.1090/S0002-9939-99-04859-5
- Published electronically: February 16, 1999
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Abstract:
This paper establishes automatic extensions for local regularized semigroups and local regularized cosine functions in a certain sense and applies the results to abstract Cauchy problems.References
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Bibliographic Information
- Sheng Wang Wang
- Affiliation: Department of Mathematics, Nanjing University, Nanjing, Jiangsu 210093, People’s Republic of China
- Address at time of publication: Department of Mathematics, Central Michigan University, Mt. Pleasant, Michigan 48859
- Email: wang2598@netra.nju.edu.cn
- Ming Chu Gao
- Affiliation: Department of Mathematics, Nanjing University, Nanjing, Jiangsu 210093, People’s Republic of China
- Address at time of publication: Department of Mathematics, Shanxi Teachers University, Linfen, Shanxi 041000, People’s Republic of China
- Received by editor(s): May 1, 1997
- Published electronically: February 16, 1999
- Communicated by: David R. Larson
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 1651-1663
- MSC (1991): Primary 47D05, 47F05
- DOI: https://doi.org/10.1090/S0002-9939-99-04859-5
- MathSciNet review: 1600157