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

2011/10/21 by Frederic Bernicot, Pierre Germain, Bernicot, Frederic +1
Mathematics · #37L50 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Primary 42B20 #math.AP #math.CA #msc:37L50 #msc:42B20

paper · pdf · doi:10.48550/arxiv.1110.4794

32 pages

arxiv created 2011/10/21 · arxiv updated 2011/10/24

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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