Differential and Integral Equations

Local and global solutions for the non-linear Schrödinger-Boussinesq system

Luiz Gustavo Farah

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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).

Article information

Differential Integral Equations, Volume 21, Number 7-8 (2008), 743-770.

First available in Project Euclid: 20 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35Q55: NLS-like equations (nonlinear Schrödinger) [See also 37K10]
Secondary: 35B30: Dependence of solutions on initial and boundary data, parameters [See also 37Cxx] 35Q53: KdV-like equations (Korteweg-de Vries) [See also 37K10]


Farah, Luiz Gustavo. Local and global solutions for the non-linear Schrödinger-Boussinesq system. Differential Integral Equations 21 (2008), no. 7-8, 743--770. https://projecteuclid.org/euclid.die/1356038621

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