Formally integrable structures II. Division problem
We formulate a division problem for a class of overdetermined systems introduced by L. Hörmander, 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.
Authors
- Qingchun Ji
- Jun Yao
Institutions
- University of Electronic Science and Technology of China (CN)
- Fudan University (CN)
Publication Details
- Journal
- Advances in Mathematics
- Published
- 2026-02-12
- DOI
- https://doi.org/10.1016/j.aim.2026.110861
- Primary Topic
- Nonlinear Waves and Solitons
- Type
- article
- Field-Weighted Citation Impact
- 0.00