The IVP for a certain dispersion generalized ZK equation in bi-periodic spaces

Carolina Albarracin; Guillermo Rodriguez-Blanco

The IVP for a certain dispersion generalized ZK equation in bi-periodic spaces

Analysis of PDEs 2021-07-06 v1

Authors: Carolina Albarracin , Guillermo Rodriguez-Blanco

Abstract

We establish well-posedness conclusions for the Cauchy problem associated to the dispersion generalized Zakharov-Kutnesov equation in bi-periodic Sobolev spaces $H^{s}\left(\mathbb{T}^{2}\right)$ , $s>(\frac{3}{2}-\frac{1}{2^{\alpha+2}})(\frac{3}{2}-\frac{\beta}{4})$ .

Keywords

dispersion generalized zk equation cauchy problem bi-periodic spaces sobolev spaces well-posedness

Cite

@article{arxiv.2107.01482,
  title  = {The IVP for a certain dispersion generalized ZK equation in bi-periodic spaces},
  author = {Carolina Albarracin and Guillermo Rodriguez-Blanco},
  journal= {arXiv preprint arXiv:2107.01482},
  year   = {2021}
}

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