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The linear profile
decomposition for the Airy equation and the existence of
maximizers for the Airy Strichartz inequality
Shuanglin Shao |
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Vol. 2 (2009), No. 1, 83–117
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Abstract |
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We establish the linear profile decomposition for the Airy equation with complex or real initial data in . As an application, we obtain a dichotomy result on the existence of maximizers for the symmetric Airy Strichartz inequality. |
Keywords
gKdV, mass-critical, profile decomposition, maximizer
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Mathematical Subject Classification 2000
Primary: 35Q53
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Milestones
Received: 31 August 2008
Revised: 17 February 2009
Accepted: 17 February 2009
Published: 1 February 2009
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Authors |
| Shuanglin Shao | |
| Department of Mathematics University of California, Los Angeles Los Angeles, CA 90095 United States |
School of Mathematics Institute for Advanced Study Princeton, NJ 08540 United States |
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