${\ell }^2$ Decoupling in ${\mathbb{R}}^2$ for curves with Vanishing Curvature

Chandan Biswas, Maxim Gilula, Linhan Li +2

We expand the class of curves $({\phi }_1(t),{\phi }_2(t)),t\in [0,1]$ for which the ${\ell }^2$ decoupling conjecture holds for $2\le p\le 6$. Our class of curves includes all real-analytic r…