Decouplings for surfaces in R⁴

2015/01/28 by Jean Bourgain, Ciprian Demeter, Bourgain, Jean +1
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Number Theory (math.NT) #math.CA #math.NT

paper · pdf · doi:10.48550/arxiv.1501.07224

arxiv created 2015/01/28 · arxiv updated 2015/01/29

Abstract

We prove a sharp decoupling for non degenerate surfaces in \R⁴. This puts the recent progress on the Lindelöf hypothesis into a more general perspective.

Related

• l² Decoupling for certain degenerate surfaces in ℝ⁴
• Decoupling for surfaces with radial symmetry
• ℓ² decoupling for certain surfaces of finite type in ℝ³
• Decoupling via Scale-based Approximations of Limited Efficacy
• l² decoupling theorem for surfaces in ℝ³