%0 Journal Article %T The linear profile decomposition for the Airy equation and the existence of maximizers for the Airy Strichartz inequality %A Shuanglin Shao %J Mathematics %D 2008 %I arXiv %X In this paper, we establish the linear profile decomposition for the Airy equation with complex or real initial data in $L^2$, respectively. As an application, we obtain a dichotomy result on the existence of maximizers for the symmetric Airy-Strichartz inequality. %U http://arxiv.org/abs/0809.0157v5