ℓ2 Decoupling in R2 for curves with vanishing curvature

Chandan Biswas; Maxim Gilula; Linhan Li; Jeremy Schwend; Yakun Xi

doi:10.1090/proc/14954

ℓ2 Decoupling in R2 for curves with vanishing curvature

Chandan Biswas, Maxim Gilula, Linhan Li, Jeremy Schwend, Yakun Xi

Mathematics

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4 Scopus citations

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, t1+V) for v ∈ (0,∞).

Original language	English (US)
Pages (from-to)	1987-1997
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	148
Issue number	5
DOIs	https://doi.org/10.1090/proc/14954
State	Published - 2020

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© 2020 American Mathematical Society. All rights reserved.

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AU - Li, Linhan

AU - Schwend, Jeremy

AU - Xi, Yakun

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AB - 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, t1+V) for v ∈ (0,∞).

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ℓ2 Decoupling in R2 for curves with vanishing curvature

Abstract

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