Semilinear evolution equations on discrete time and maximal regularity
β Scribed by Claudio Cuevas; Carlos Lizama
- Book ID
- 108178555
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 210 KB
- Volume
- 361
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A ΠΈ g C 0, T , L L D A 0 , X and construct the corresponding evolution family on the underlying Banach space X. Our proofs are based on the operator sum method and the use of evolution semigroups. The results are applied to parabolic partial differential equations with continuous coefficients.
In the first part of this paper, we give the following interpolation result on the analyticity (i.e. the property &(T&I ) T n & CΓn for all n # N) of an operator T on L p : If T is powerbounded on L p and L q as well as analytic on L p , then T is powerbounded and analytic on L r for all r strictly