#### Vol. 2, No. 1, 2009

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The linear profile decomposition for the Airy equation and the existence of maximizers for the Airy Strichartz inequality

### Shuanglin Shao

Vol. 2 (2009), No. 1, 83–117
##### Abstract

We establish the linear profile decomposition for the Airy equation with complex or real initial data in ${L}^{2}$. As an application, we obtain a dichotomy result on the existence of maximizers for the symmetric Airy Strichartz inequality.

##### Keywords
gKdV, mass-critical, profile decomposition, maximizer
Primary: 35Q53