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) |
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Pages (from-to) | 1987-1997 |
Number of pages | 11 |
Journal | Proceedings of the American Mathematical Society |
Volume | 148 |
Issue number | 5 |
DOIs | |
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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