Unbounded generalization of logarithmic representation of infinitesimal generators
Functional Analysis
2023-01-11 v3 Mathematical Physics
Analysis of PDEs
math.MP
Operator Algebras
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.
Keywords
Cite
@article{arxiv.2101.01443,
title = {Unbounded generalization of logarithmic representation of infinitesimal generators},
author = {Yoritaka Iwata},
journal= {arXiv preprint arXiv:2101.01443},
year = {2023}
}
Comments
To appear in Math. Meth. Appl. Sci