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

By Shuanglin Shao. 2008

53 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a94d15b4151fd71fb4f8629b71a1ff305ee1f94c

Citations in the corpus

• Blow up for the critical gKdV equation II: minimal mass dynamics (2012, unknown): “We now recall the known results from [49] on profile decomposition in the critical space of sequences of solutions to the Airy equation which describes the lack of compactness of the Strichartz estimate (2.”