English

To one problem of Saut-Temam for the 3D Zakharov-Kuznetsov equation

Analysis of PDEs 2017-04-18 v1

Abstract

An initial-boundary value problem for the 3D Zakharov-Kuznetsov equation posed on an unbounded domain is considered. Existence and uniqueness of a global regular solution as well as exponential decay of the H2H^2-norm for small initial data are proven.

Keywords

Cite

@article{arxiv.1704.04534,
  title  = {To one problem of Saut-Temam for the 3D Zakharov-Kuznetsov equation},
  author = {Nikolai Larkin and Marcos Padilha},
  journal= {arXiv preprint arXiv:1704.04534},
  year   = {2017}
}