## Differential and Integral Equations

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

#### Abstract

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 decomposition to establish the existence of maximizers for a general class of Strichartz type inequalities associated to the Airy equation.

#### Article information

Source
Differential Integral Equations Volume 31, Number 1/2 (2018), 27-56.

Dates
First available in Project Euclid: 26 October 2017