Abstract
We study the local and global well posedness of the initial-value problem for the non-linear Schrödinger-Boussinesq System. Local existence results are proved for 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).
Citation
Luiz Gustavo Farah. "Local and global solutions for the non-linear Schrödinger-Boussinesq system." Differential Integral Equations 21 (7-8) 743 - 770, 2008. https://doi.org/10.57262/die/1356038621
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