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

Journal of Applied Mathematics and Physics

Volume 5, Issue 4 (April 2017)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 0.70 Citations

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 1,338 Downloads 2,118 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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