### Abstract

We prove that the solution map associated with the 1D half-wave cubic equation in the periodic setting cannot be uniformly continuous on bounded sets of the periodic Sobolev spaces H^{s} with s ( 1/4 ; 1/2 ).

Original language | English |
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Pages (from-to) | 183-200 |

Number of pages | 18 |

Journal | Differential and Integral Equations |

Volume | 29 |

Issue number | 1-2 |

Publication status | Published - 2016 |

Externally published | Yes |

### ASJC Scopus subject areas

- Analysis
- Applied Mathematics

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## Cite this

Gueorguiev, V. S., Tzvetkov, N., & Visciglia, N. (2016). On the regularity of the flow map associated with the 1D cubic periodic half-wave equation.

*Differential and Integral Equations*,*29*(1-2), 183-200.