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

School of Mathematics

Research output: Contribution to journal › Article › peer-review

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

Bibliographical note

Funding Information:
Received by the editors June 3, 2019. 2010 Mathematics Subject Classification. Primary 42B99. This material is based upon work supported by the National Science Foundation under Grant No. 1641020. The fourth author was supported by NSF DMS-1653264 and DMS-1147523.

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© 2020 American Mathematical Society. All rights reserved.

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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,∞).",

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note = "Funding Information: Received by the editors June 3, 2019. 2010 Mathematics Subject Classification. Primary 42B99. This material is based upon work supported by the National Science Foundation under Grant No. 1641020. The fourth author was supported by NSF DMS-1653264 and DMS-1147523. Publisher Copyright: {\textcopyright} 2020 American Mathematical Society. All rights reserved.",

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AU - Biswas, Chandan

AU - Gilula, Maxim

AU - Li, Linhan

AU - Schwend, Jeremy

AU - Xi, Yakun

N1 - Funding Information: Received by the editors June 3, 2019. 2010 Mathematics Subject Classification. Primary 42B99. This material is based upon work supported by the National Science Foundation under Grant No. 1641020. The fourth author was supported by NSF DMS-1653264 and DMS-1147523. Publisher Copyright: © 2020 American Mathematical Society. All rights reserved.

PY - 2020

Y1 - 2020

N2 - 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,∞).

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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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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ER -

ℓ2 Decoupling in R2 for curves with vanishing curvature

Abstract

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