English

Global well-posedness for a family of regularized Benjamin-type equations

Analysis of PDEs 2023-09-06 v1 Mathematical Physics math.MP

Abstract

In this work we prove local and global well-posedness results for the Cauchy problem of a family of regularized nonlinear Benjamin-type equations in both periodic and nonperiodic Sobolev spaces.

Keywords

Cite

@article{arxiv.2309.01892,
  title  = {Global well-posedness for a family of regularized Benjamin-type equations},
  author = {Izabela Patrício Bastos and Daniel G. Alfaro Vigo and Ailín Ruiz de Zárate Fábregas and Janaína Schoeffel and César J. Niche},
  journal= {arXiv preprint arXiv:2309.01892},
  year   = {2023}
}

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22 pages