English

Decoupling for surfaces with radial symmetry

Classical Analysis and ODEs 2025-07-08 v2

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 Rn\mathbb R^n generated by smooth surfaces in R3\mathbb R^3. The second type of surfaces are graphs of trivariate homogeneous smooth functions of a nonzero degree.

Keywords

Cite

@article{arxiv.2504.17100,
  title  = {Decoupling for surfaces with radial symmetry},
  author = {Jianhui Li and Tongou Yang},
  journal= {arXiv preprint arXiv:2504.17100},
  year   = {2025}
}

Comments

41 pages, 1 figure v2: minor modification to v1

R2 v1 2026-06-28T23:09:08.565Z