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math.AP2008★ 22 cited
Maximizers for the Strichartz inequalities and the Sobolev-Strichartz inequalities for the Schrödinger equation
Shuanglin Shao
In this paper, we first show that there exists a maximizer for the non-endpoint Strichartz inequalities for the Schrödinger equation in all dimensions based on the recent linear pr…
math.AP2008★ 3 cited
The linear profile decomposition for the Airy equation and the existence of maximizers for the Airy Strichartz inequality
Shuanglin Shao
In this paper, we establish the linear profile decomposition for the Airy equation with complex or real initial data in , respectively. As an application, we obtain a dichotom…