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

5 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

Publisher Copyright:
© 2020 American Mathematical Society. All rights reserved.

Publisher link

10.1090/proc/14954

Find It

Find It at U of M Libraries

Cite this

@article{ddbac5fc7a3a41fc957868a8df7426ed,

title = "ℓ2 Decoupling in R2 for curves with vanishing curvature",

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,∞).",

author = "Chandan Biswas and Maxim Gilula and Linhan Li and Jeremy Schwend and Yakun Xi",

year = "2020",

doi = "10.1090/proc/14954",

language = "English (US)",

volume = "148",

pages = "1987--1997",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "5",

}

TY - JOUR

T1 - ℓ2 Decoupling in R2 for curves with vanishing curvature

AU - Biswas, Chandan

AU - Gilula, Maxim

AU - Li, Linhan

AU - Schwend, Jeremy

AU - Xi, Yakun

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,∞).

UR - http://www.scopus.com/inward/record.url?scp=85083090561&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85083090561&partnerID=8YFLogxK

U2 - 10.1090/proc/14954

DO - 10.1090/proc/14954

M3 - Article

AN - SCOPUS:85083090561

SN - 0002-9939

VL - 148

SP - 1987

EP - 1997

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 5

ER -

ℓ2 Decoupling in R2 for curves with vanishing curvature

Abstract

Bibliographical note

Publisher link

Find It

Other files and links

Fingerprint

Cite this