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

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

2008-08-31

arxiv.org/abs/0809.0157v5

Mathematics

Analysis of PDEs

34 pages.A sign error is corrected throught the paper; the statement of Theorem 1.9 is slightly modified since version 3; add

Scientific paper

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.

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