Bilinear dispersive estimates via space-time resonances. Part I : the one dimensional case
arXiv:1110.4794
Abstract
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.
arXiv comment32 pages