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

Corresponding Author:[email protected]

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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.
30 Dec 2020Submitted to Mathematical Methods in the Applied Sciences
04 Jan 2021Submission Checks Completed
04 Jan 2021Assigned to Editor
20 Jan 2021Reviewer(s) Assigned
05 Jul 2021Review(s) Completed, Editorial Evaluation Pending
07 Jul 2021Editorial Decision: Revise Major
27 Jul 20211st Revision Received
27 Jul 2021Submission Checks Completed
27 Jul 2021Assigned to Editor
27 Jul 2021Reviewer(s) Assigned
02 Jun 2022Review(s) Completed, Editorial Evaluation Pending
07 Jun 2022Editorial Decision: Revise Minor
12 Jun 20222nd Revision Received
13 Jun 2022Submission Checks Completed
13 Jun 2022Assigned to Editor
15 Jun 2022Reviewer(s) Assigned
22 Aug 2022Review(s) Completed, Editorial Evaluation Pending
24 Aug 2022Editorial Decision: Revise Minor
29 Nov 20223rd Revision Received
30 Nov 2022Assigned to Editor
30 Nov 2022Submission Checks Completed
30 Nov 2022Review(s) Completed, Editorial Evaluation Pending
30 Nov 2022Reviewer(s) Assigned
08 Dec 2022Editorial Decision: Accept