English

Scattering for the magnetic Zakharov system in 3 dimensions

Analysis of PDEs 2024-02-19 v1

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.

Keywords

Cite

@article{arxiv.2402.10463,
  title  = {Scattering for the magnetic Zakharov system in 3 dimensions},
  author = {Xiaohong Wang and Lijia Han},
  journal= {arXiv preprint arXiv:2402.10463},
  year   = {2024}
}

Comments

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