Alternative Infinitesimal Generator of Invertible Evolution Families
Yoritaka Iwata · Journal of Applied Mathematics and Physics · 2017
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.