Analyticity of extremisers to the Airy Strichartz inequality

Dirk Hundertmark, Shuanglin Shao

We prove that there exists an extremal function to the Airy Strichartz inequality, $e^{-t{\partial }_x^3}:L^2(\mathbb{R})\to L_{t,x}^8({\mathbb{R}}^2)$ by using the linear profile deco…