Decoupling for surfaces with radial symmetry

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

41 pages, 1 figure v2: minor modification to v1