A generalized domain for semigroup generators

Author:
Michael G. Crandall

Journal:
Proc. Amer. Math. Soc. **37** (1973), 434-440

MSC:
Primary 47D05; Secondary 47H99

DOI:
https://doi.org/10.1090/S0002-9939-1973-0313873-1

MathSciNet review:
0313873

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Abstract: A generalized domain is assigned to a certain class of generators *A* of semigroups of nonlinear transformations *S* on Banach spaces. is then characterized in two ways. is the set of *x* such that is locally Lipschitz continuous in *t* or, equivalently, the set of *x* which can lie in the domain of suitable extensions of *A*.

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DOI:
https://doi.org/10.1090/S0002-9939-1973-0313873-1

Article copyright:
© Copyright 1973
American Mathematical Society