Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 5, Number 4 (2000), 227-244.
A new characterization of $B$-bounded semigroups with application to implicit evolution equations
We consider the one-parameter family of linear operators that A. Belleni Morante recently introduced and called -bounded semigroups. We first determine all the properties possessed by a couple of operators if they generate a -bounded semigroup . Then we determine the simplest further property of the couple which can assure the existence of a -semigroup such that for all we can write . Furthermore, we compare our result with the previous ones and finally we show how our method allows to improve the theory developed by Banasiak for solving implicit evolution equations.
Abstr. Appl. Anal., Volume 5, Number 4 (2000), 227-244.
First available in Project Euclid: 10 April 2003
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Arlotti, Luisa. A new characterization of $B$-bounded semigroups with application to implicit evolution equations. Abstr. Appl. Anal. 5 (2000), no. 4, 227--244. doi:10.1155/S1085337500000336. https://projecteuclid.org/euclid.aaa/1049999353