Decoupling for surfaces with radial symmetry

2025/04/23 by Jianhui Li, Li, Jianhui, Tongou Yang +1 · 1 citation
Mathematics · #42B99 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2504.17100

openalex publication_date 2025/04/23 · openalex created_date 2025/10/18 · openalex updated_date 2026/07/28

Abstract

We utilise the two principles of decoupling introduced in [arXiv:2407.16108] to prove decoupling for two types of surfaces exhibiting radial symmetry. The first type are surfaces of revolution in \mathbb Rⁿ generated by smooth surfaces in \mathbb R³. The second type of surfaces are graphs of trivariate homogeneous smooth functions of nonzero degree.

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• Decoupling for degenerate hypersurfaces

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