ℓ² Decoupling in \mathbb R² for curves with Vanishing Curvature

2018/12/12 by Biswas, Chandan, Gilula, Maxim, Li, Linhan +2
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1812.04760

Abstract

We expand the class of curves (φ₁(t),φ₂(t)), t∈[0,1] for which the ℓ² decoupling conjecture holds for 2≤ p≤ 6. Our class of curves includes all real-analytic regular curves with isolated points of vanishing curvature and all curves of the form (t,t^1+ν) for ν∈ (0,∞).

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