${\ell }^2$ decoupling for certain surfaces of finite type in ${\mathbb{R}}^3$

Zhuoran Li, Jiqiang Zheng

In this article, we establish an ${\ell }^2$ decoupling inequality for the surface $$F_4^2:=\{({\xi }_1,{\xi }_2,{\xi }_1^4+{\xi }_2^4):({\xi }_1,{\xi }_2)\in [0,1{]}^2\}$$ associated with the decompositio…