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

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dc.creatorShao, Shuanglin
dc.date2008-08-31
dc.date2009-03-10
dc.date.accessioned2026-07-07T12:50:08Z
dc.date.available2026-07-07T12:50:08Z
dc.descriptionIn 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.
dc.description34 pages.A sign error is corrected throught the paper; the statement of Theorem 1.9 is slightly modified since version 3; add a new reference in remark 1.7; some improvement in exposition. To appear Analysis and PDE
dc.identifierhttps://arxiv.org/abs/0809.0157
dc.identifierhttp://arxiv.org/abs/0809.0157
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222596
dc.subjectAnalysis of PDEs
dc.subject35Q53
dc.titleThe linear profile decomposition for the Airy equation and the existence of maximizers for the Airy Strichartz inequality
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