On the lack of compactness and existence of maximizers for some Airy-Strichartz inequalities

Luiz Gustavo Farah, Henrique Versieux

This work is devoted to prove a linear profile decomposition for the Airy equation in ${\dot{H}}_x^{s_k}(\mathbb{R})$, where $s_k=(k-4)/2k$ and $k>4$. We also apply this decompositio…