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l2 decoupling in R2 for curves with vanishing curvature.
- Source :
- Proceedings of the American Mathematical Society; May2020, Vol. 148 Issue 5, p1987-1997, 11p
- Publication Year :
- 2020
-
Abstract
- We expand the class of curves (φ<subscript>1</subscript>(t), φ<subscript>2</subscript>(t)), t ∈ [0,1] for which the l<superscript>2</superscript> 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,t<superscript>1+ν</superscript>) for ν ∈ (0,∞). [ABSTRACT FROM AUTHOR]
- Subjects :
- CURVATURE
CURVES
LOGICAL prediction
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 148
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 142355095
- Full Text :
- https://doi.org/10.1090/proc/14954