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arXiv · 2602.15203

Solvability of a class of evolution operators on compact Lie groups

Alexandre Kirilov·Wagner Augusto Almeida de Moraes·Pedro Meyer Tokoro
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Abstract

This paper provides sufficient conditions for the solvability of a class of first-order evolution operators of Vekua-type on the product of a one-dimensional torus and a compact Lie group. The conditions are expressed in terms of the time-dependent coefficients and the spectral behavior of a normalized left-invariant vector field on the group. The three-sphere case is discussed in detail, leading to more explicit criteria, and the main results are further extended to operators defined on finite products of compact Lie groups.

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Alexandre Kirilov, Wagner Augusto Almeida de Moraes, Pedro Meyer Tokoro. 2026-02-16. Solvability of a class of evolution operators on compact Lie groups. https://arxiv.org/abs/2602.15203

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