Alternative Infinitesimal Generator of Invertible Evolution Families - Journal of Applied Mathematics and Physics

JAMP > Vol.5 No.4, April 2017

Alternative Infinitesimal Generator of Invertible Evolution Families ()

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Download as PDF (Size: 386KB) PP. 822-830

DOI: 10.4236/jamp.2017.54071 1,337 Downloads 2,116 Views Citations

Author(s)

Yoritaka Iwata^1,2

Affiliation(s)

¹Institute of Innovative Research, Tokyo Institute of Technology, Tokyo, Japan.
²Department of Mathematics, Shibaura Institute of Technology, Tokyo, Japan.

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.

KEYWORDS

Invertible Evolution Family, Abstract Cauchy Problem

Share and Cite:

Iwata, Y. (2017) Alternative Infinitesimal Generator of Invertible Evolution Families. Journal of Applied Mathematics and Physics, 5, 822-830. doi: 10.4236/jamp.2017.54071.

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