On the periodic "good" Boussinesq equation

Luiz Gustavo Farah; Marcia Scialom

doi:10.1090/S0002-9939-09-10142-9

On the periodic "good" Boussinesq equation

Analysis of PDEs 2010-09-30 v2

Authors: Luiz Gustavo Farah , Marcia Scialom

View on arXiv ↗ PDF ↗ DOI ↗

Abstract

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}.

Keywords

good Boussinesq equation initial-value problem well-posedness Sobolev spaces periodic boundary conditions

Cite

@article{arxiv.0906.3915,
  title  = {On the periodic "good" Boussinesq equation},
  author = {Luiz Gustavo Farah and Marcia Scialom},
  journal= {arXiv preprint arXiv:0906.3915},
  year   = {2010}
}

Comments

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

Related papers

View all related →