Strichartz type estimates of the Airy equation

Jie Chen, Fan Gu, Boling Guo

In this article, we show the necessary and sufficient conditions for the inequality $\Vert u{\Vert }_{L_t^q{L}_x^r}\lesssim \Vert u{\Vert }_{X^{s,b}}$, where $$\|u\|_{X^{s,b}}:=\|\hat{u}(τ,ξ)\langle Î…