{"title":"脱钩的两个原则","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":"{\"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}","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}
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
