Well-posedness for the 1D Zakharov-Rubenchik system

Details Well-posedness for the 1D Zakharov-Rubenchik system Well-posedness for the 1D Zakharov-Rubenchik system

2008-09-05

arxiv.org/abs/0809.1089v2

Mathematics

Analysis of PDEs

Scientific paper

Local and global well-posedness results are established for the initial value problem associated to the 1D Zakharov-Rubenchik system. We show that our results are sharp in some situations by proving Ill-posedness results otherwise. The global results allow us to study the norm growth of solutions corresponding to the Schrodinger equation term. We use ideas recently introduced to study the classical Zakharov systems.

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