A remark on cosine families

Author:
Samuel M. Rankin

Journal:
Proc. Amer. Math. Soc. **79** (1980), 376-378

MSC:
Primary 47D05; Secondary 34G10

MathSciNet review:
567976

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Abstract: Let , be a strongly continuous cosine family and *A* its infinitesimal generator. Then the set is once continuously differentiable in *t* on *R*} of the Banach space *X* is contained in the domain of for .

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DOI:
http://dx.doi.org/10.1090/S0002-9939-1980-0567976-0

Keywords:
Cosine family,
semigroup of operators,
differential equation

Article copyright:
© Copyright 1980
American Mathematical Society