English

On the regularity of the flow map associated with the 1D cubic periodic Half-Wave equation

Analysis of PDEs 2015-08-17 v1

Abstract

We prove that the solution map associated with the 1D1D half-wave cubic equation in the periodic setting cannot be uniformly continuous on bounded sets of the periodic Sobolev spaces HsH^s with s(1/4,1/2)s\in (1/4, 1/2)

Keywords

Cite

@article{arxiv.1508.03496,
  title  = {On the regularity of the flow map associated with the 1D cubic periodic Half-Wave equation},
  author = {V. Georgiev and N. Tzvetkov and N. Visciglia},
  journal= {arXiv preprint arXiv:1508.03496},
  year   = {2015}
}

Comments

to appear on Diff. Int. Equations