Analysis & PDE

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

Shuanglin Shao

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We establish the linear profile decomposition for the Airy equation with complex or real initial data in L2. As an application, we obtain a dichotomy result on the existence of maximizers for the symmetric Airy Strichartz inequality.

Article information

Anal. PDE, Volume 2, Number 1 (2009), 83-117.

Received: 31 August 2008
Revised: 17 February 2009
Accepted: 17 February 2009
First available in Project Euclid: 20 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35Q53: KdV-like equations (Korteweg-de Vries) [See also 37K10]

gKdV mass-critical profile decomposition maximizer


Shao, Shuanglin. The linear profile decomposition for the Airy equation and the existence of maximizers for the Airy Strichartz inequality. Anal. PDE 2 (2009), no. 1, 83--117. doi:10.2140/apde.2009.2.83.

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