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,∞).
Bibliographical noteFunding 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.
© 2020 American Mathematical Society. All rights reserved.