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math.CA2025
Decoupling for degenerate hypersurfaces
Jianhui Li, Tongou Yang
We utilise the two principles of decoupling introduced in arXiv:2407.16108 to prove the following conditional result: assuming uniform decoupling for graphs of polynomials in all d…
math.CA2025
Decoupling for surfaces with radial symmetry
Jianhui Li, Tongou Yang
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 o…
math.CA2024
Two principles of decoupling
Jianhui Li, Tongou Yang
We put forward a radial principle and a degeneracy locating principle of decoupling. The former generalises the Pramanik-Seeger argument used in the proof of decoupling for the lig…