Article citationsMore>>

Okazawa, N. (2000) Logarithmic Characterization of Bounded Imaginary Powers. Progress in Nonlinear Differential Equations and Their Applications, 42, 229-237. https://doi.org/10.1007/978-3-0348-8417-4_24

has been cited by the following article:

• 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.