{"title":"Two principles of decoupling","authors":"Jianhui Li, Tongou Yang","doi":"arxiv-2407.16108","DOIUrl":null,"url":null,"abstract":"We put forward a conical principle and a degeneracy locating principle of\ndecoupling. The former generalises the Pramanik-Seeger argument used in the\nproof of decoupling for the light cone. The latter locates the degenerate part\nof a manifold and effectively reduces the decoupling problem to two extremes:\nnon-degenerate case and totally degenerate case. Both principles aim to provide\na new algebraic approach of reducing decoupling for new manifolds to decoupling\nfor known manifolds.","PeriodicalId":501145,"journal":{"name":"arXiv - MATH - Classical Analysis and ODEs","volume":"95 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Classical Analysis and ODEs","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.16108","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We put forward a conical 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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