English

Exponential decay for the linear Zakharov-Kuznetsov equation without critical domains restrictions

Analysis of PDEs 2013-05-28 v1

Abstract

Initial-boundary value problems for the linear Zakharov-Kuznetsov equation posed on bounded rectangles are considered. Spectral properties of a stationary operator are studied in order to show that the evolution problem posed on a bounded rectangle has no critical restrictions on its size. Exponential decay of regular solutions is established.

Keywords

Cite

@article{arxiv.1305.6236,
  title  = {Exponential decay for the linear Zakharov-Kuznetsov equation without critical domains restrictions},
  author = {Gleb G. Doronin and Nikolai A. Larkin},
  journal= {arXiv preprint arXiv:1305.6236},
  year   = {2013}
}

Comments

arXiv admin note: text overlap with arXiv:1209.5767