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.
Citation
Luiz G. Farah. Henrique Versieux. "On the lack of compactness and existence of maximizers for some Airy-Strichartz inequalities." Differential Integral Equations 31 (1/2) 27 - 56, January/February 2018. https://doi.org/10.57262/die/1509041400