Document Zbl 1224.35027

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Local and global solutions for the non-linear Schrödinger-Boussinesq system. (English) Zbl 1224.35027

Differ. Integral Equ. 21, No. 7-8, 743-770 (2008).

Summary: 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 J. Colliander, J. Holmer and N. Tzirakis [Trans. Am. Math. Soc. 360, No. 9, 4619–4638 (2008; Zbl 1158.35085)].

Cited in 1 Review

Cited in 3 Documents

MSC:

35B30	Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
35Q55	NLS equations (nonlinear Schrödinger equations)
35Q53	KdV equations (Korteweg-de Vries equations)

Keywords:

Schrödinger-Boussinesq system; global well posedness; initial-value problem

Citations:

Zbl 1158.35085

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