On product formulas for nonlinear semigroups
โ Scribed by J Marsden
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 1003 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, we study nonautonomous Cauchy problems for a family of linear operators (A(t)) tโI on some Banach space X by means of evolution semigroups. In particular, we characterize "stability" in the so called "hyperbolic case" on the level of evolution semigroups and derive a product formula
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).