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A holomorphic Lie-Trotter product formula for nonlinear local semigroup
Abstract
We prove a new, holomorphic version of the Lie-Trotter product formula for nonlinear local semigroups with a parameter. We show that the product converges to the solutions of a nonlinear evolutions equation with a parameter. The solution is holomorphic in time on a centered at zero conic set in the complex plane and depends continuously on the parameter, and analytically on the initial data.
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BibTeX
@misc{topalov2026holomorphic,
title = {{A holomorphic Lie-Trotter product formula for nonlinear local semigroup}},
author = {Peter Topalov},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.03883},
eprint = {2611.03883},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.03883},
}
RIS
TY - UNPB
TI - A holomorphic Lie-Trotter product formula for nonlinear local semigroup
AU - Peter Topalov
PY - 2026
DA - 2026/11/02
PB - arXiv
DO - 10.48550/arxiv.2611.03883
UR - https://arxiv.org/abs/2611.03883
AB - We prove a new, holomorphic version of the Lie-Trotter product formula for nonlinear local semigroups with a parameter. We show that the product converges to the solutions of a nonlinear evolutions equation with a parameter. The solution is holomorphic in time on a centered at zero conic set in the complex plane and depends continuously on the parameter, and analytically on the initial data.
ER -