$\ell ^2$ decoupling in $\mathbb {R}^2$ for curves with vanishing curvature

$\ell ^2$ decoupling in $\mathbb {R}^2$ for curves with vanishing curvature
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$ell ^2$ 对于曲率消失的曲线在 $mathbb {R}^2$ 中解耦

DOI:
10.1090/proc/14954
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发表时间:
2020
影响因子:
1
通讯作者:
Xi, Yakun
Xi, Yakun
中科院分区:
数学3区
文献类型:
--
作者:
Biswas, Chandan;Gilula, Maxim;Li, Linhan;Schwend, Jeremy;Xi, Yakun

文献摘要

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我们将解耦猜想成立的曲线类 $(\varphi _1 (t),\varphi _2 (t)),\t\in [0, 1] $ 展开。我们的曲线类包括所有具有消失曲率孤立点的实解析正则曲线以及 for 形式的所有曲线。参考
We expand the class of curves $(\varphi _1 (t),\varphi _2 (t)),\t\in [0, 1] $ for which thedecoupling conjecture holds for. Our class of curves includes all real-analytic regular curves with isolated points of vanishing curvature and all curves of the formfor. References