Preprint C69/2008
On Some Boussinesq-Type Equations
Luiz Farah
Keywords: Schrodinger-Boussinesq System | local and global well-posedness
We study the local and global well-posedness of the initial-value problem for the nonlinear Schrodinger-Boussinesq System. Local existence results are proved for the three initial data in Sobolev spaces of negative indices. Global results are proved using the arguments of Colliander, Holmer and Tzirakis (2006 Arxiv preprint math.AP/0603595).