On the invertibility and bounded extension ofC0-semigroups
โ Scribed by Hans Zwart
- Book ID
- 111706839
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 138 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0037-1912
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๐ SIMILAR VOLUMES
The present paper deals with a minimal extension of the classical semigroup theory for second-order damped differential equations in Banach spaces with closed, densely defined linear operators as coefficients. We do not ask anymore from our operators than in the case of first-order equations, i.e.,
Given a family (e tAk ) t 0 (k # N) of commuting contraction semigroups, we investigate when the infinite product > k=1 e tAk converges and defines a C 0 -semigroup. A particular case is the heat semigroup in infinite dimension introduced by Cannarsa and Da Prato (J. Funct. Anal. 118 (1993), 22 42).