Formally Integrable Structures II. Division Problem
Complex Variables
2025-08-22 v3 Analysis of PDEs
Differential Geometry
Abstract
We formulate a division problem for a class of overdetermined systems introduced by L. H{\"o}rmander, and establish an effective divisibility criterion. In addition, we prove a coherence theorem which extends Nadel's coherence theorem from complex structures to elliptic systems of partial differential equations.
Cite
@article{arxiv.2309.07511,
title = {Formally Integrable Structures II. Division Problem},
author = {Qingchun Ji and Jun Yao},
journal= {arXiv preprint arXiv:2309.07511},
year = {2025}
}