Two principles of decoupling

Fuente: arXiv
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Main Authors: Li, Jianhui, Yang, Tongou
Format: Preprint
Published: 2024
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author Li, Jianhui
Yang, Tongou
author_facet Li, Jianhui
Yang, Tongou
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2407_16108
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Two principles of decoupling
Li, Jianhui
Yang, Tongou
Classical Analysis and ODEs
42B99
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.
title Two principles of decoupling
topic Classical Analysis and ODEs
42B99
url https://arxiv.org/abs/2407.16108