Bilinear dispersive estimates via space-time resonances. Part I : the one dimensional case
Analysis of PDEs
2011-10-24 v1 Classical Analysis and ODEs
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.
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Cite
@article{arxiv.1110.4794,
title = {Bilinear dispersive estimates via space-time resonances. Part I : the one dimensional case},
author = {Frederic Bernicot and Pierre Germain},
journal= {arXiv preprint arXiv:1110.4794},
year = {2011}
}
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32 pages