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arXiv · 2407.16108

Two principles of decoupling

Jianhui Li·Tongou Yang
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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.

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Jianhui Li, Tongou Yang. 2024-07-23. Two principles of decoupling. https://arxiv.org/abs/2407.16108

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