Bilinear dispersive estimates via space-time resonances. Part I : the one dimensional case

Details Bilinear dispersive estimates via space-time resonances. Part I : the one dimensional case Bilinear dispersive estimates via space-time resonances. Part I : the one dimensional case

2011-10-21

arxiv.org/abs/1110.4794v1

Mathematics

Analysis of PDEs

32 pages

Scientific paper

We prove new bilinear dispersive estimates. They are obtained and described
via a bilinear time-frequency analysis following the space-time resonances
method, introduced by Masmoudi, Shatah, and the second author. They allow us to
understand the large time behavior of solutions of quadratic dispersive
equations.

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