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arXiv · 2611.03883

A holomorphic Lie-Trotter product formula for nonlinear local semigroup

Peter Topalov
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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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Peter Topalov. 2026-11-02. A holomorphic Lie-Trotter product formula for nonlinear local semigroup. https://arxiv.org/abs/2611.03883

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