The linear profile decomposition for the Airy equation and the existence of maximizers for the Airy Strichartz inequality
Abstract
Description
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.
34 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
34 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