Scattering for the magnetic Zakharov system in 3 dimensions

Abstract

We consider the global existence and scattering for solutions of magnetic Zakharov system in three-dimensional space. When the initial data is small, we prove the existence of smooth global solutions and scattering results, by combining the space--time resonance method, weighted Sobolev space and dispersive estimates. Moreover, the decay rates for the solutions are also obtained.

arXiv admin note: text overlap with arXiv:1206.3473 by other authors