Uniqueness results for Zakharov-Kuznetsov equation

Lucrezia Cossetti; Luca Fanelli; Felipe Linares

Uniqueness results for Zakharov-Kuznetsov equation

Analysis of PDEs 2018-04-06 v1

Authors: Lucrezia Cossetti , Luca Fanelli , Felipe Linares

Abstract

In this paper we study uniqueness properties of solutions to the Zakharov-Kuznetsov equation of plasma physic. Given two sufficiently regular solutions $u_1, u_2,$ we prove that, if $u_1-u_2$ decays fast enough at two distinct times, then $u_1\equiv u_2.$

Cite

@article{arxiv.1804.01596,
  title  = {Uniqueness results for Zakharov-Kuznetsov equation},
  author = {Lucrezia Cossetti and Luca Fanelli and Felipe Linares},
  journal= {arXiv preprint arXiv:1804.01596},
  year   = {2018}
}

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33 pages

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