TITLE:
Alternative Infinitesimal Generator of Invertible Evolution Families
AUTHORS:
Yoritaka Iwata
KEYWORDS:
Invertible Evolution Family, Abstract Cauchy Problem
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.4,
April
12,
2017
ABSTRACT: A logarithm representation of evolution operators is defined. Generators of invertible evolution families are characterized by the logarithm representation. In this article, using the logarithm representation, a concept of evolution operators without satisfying the semigroup property is introduced. In conclusion the existence of alternative infinitesimal generator is clarified.