On the periodic "good" Boussinesq equation

Details On the periodic "good" Boussinesq equation On the periodic "good" Boussinesq equation

2009-06-22

arxiv.org/abs/0906.3915v2

Proceedings of the American Mathematical Society Volume 138, Number 3, March 2010, Pages 953-964

Mathematics

Analysis of PDEs

11 pages, no figures. Some minor typos have been corrected. To appear Proceedings of AMS

Scientific paper

10.1090/S0002-9939-09-10142-9

We study the well-posedness of the initial-value problem for the periodic
nonlinear "good" Boussinesq equation. We prove that this equation is local
well-posed for initial data in Sobolev spaces \textit{$H^s(\T)$} for $s>-1/4$,
the same range of the real case obtained in Farah \cite{LG4}.

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