Two principles of decoupling
Classical Analysis and ODEs
2025-07-08 v3
Abstract
We put forward a radial principle and a degeneracy locating principle of decoupling. The former generalises the Pramanik-Seeger argument used in the proof of decoupling for the light cone. The latter locates the degenerate part of a manifold and effectively reduces the decoupling problem to two extremes: non-degenerate case and totally degenerate case. Both principles aim to provide a new algebraic approach of reducing decoupling for new manifolds to decoupling for known manifolds.
Cite
@article{arxiv.2407.16108,
title = {Two principles of decoupling},
author = {Jianhui Li and Tongou Yang},
journal= {arXiv preprint arXiv:2407.16108},
year = {2025}
}
Comments
v2: major modification to v1 to adapt to [arXiv:2407.16108] v3: minor modification to v2 to adapt to [arXiv:2507.02134]