English

Analytic regularity of global solutions for the b-equation

Analysis of PDEs 2023-10-02 v1

Abstract

In this paper, we delve into the bb-family of equations and explore regularity properties of its global solutions. Our findings reveal that, irrespective of the real choice of the constitutive parameter, when the initial datum is confined to an analytic Gevrey function the resulting global solution is analytic in both temporal and spatial variables.

Keywords

Cite

@article{arxiv.2309.17188,
  title  = {Analytic regularity of global solutions for the b-equation},
  author = {Priscila Leal da Silva},
  journal= {arXiv preprint arXiv:2309.17188},
  year   = {2023}
}