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Unbounded generalization of logarithmic representation of infinitesimal generators
  • Yoritaka Iwata
Yoritaka Iwata
Kansai University
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Abstract

The logarithmic representation of infinitesimal generators is generalized to the cases when the evolution operator is unbounded. The generalized result is applicable to the representation of infinitesimal generators of unbounded evolution operators, where unboundedness of evolution operator is an essential ingredient of nonlinear analysis. In conclusion a general framework for the identification between the infinitesimal generators with evolution operators is established. A mathematical framework for such an identification is indispensable to the rigorous treatment of nonlinear transforms: e.g., transforms appearing in the theory of integrable systems.

Peer review status:UNDER REVIEW

30 Dec 2020Submitted to Mathematical Methods in the Applied Sciences
04 Jan 2021Assigned to Editor
04 Jan 2021Submission Checks Completed
20 Jan 2021Reviewer(s) Assigned