### 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 |
---|---|

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 |

### Fingerprint

### ASJC Scopus subject areas

- Analysis
- Applied Mathematics

### Cite this

*Differential and Integral Equations*,

*29*(1-2), 183-200.

**On the regularity of the flow map associated with the 1D cubic periodic half-wave equation.** / Gueorguiev, Vladimir Simeonov; Tzvetkov, Nikolay; Visciglia, Nicola.

Research output: Contribution to journal › Article

*Differential and Integral Equations*, vol. 29, no. 1-2, pp. 183-200.

}

TY - JOUR

T1 - On the regularity of the flow map associated with the 1D cubic periodic half-wave equation

AU - Gueorguiev, Vladimir Simeonov

AU - Tzvetkov, Nikolay

AU - Visciglia, Nicola

PY - 2016

Y1 - 2016

N2 - 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 Hs with s ( 1/4 ; 1/2 ).

AB - 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 Hs with s ( 1/4 ; 1/2 ).

UR - http://www.scopus.com/inward/record.url?scp=85028713692&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85028713692&partnerID=8YFLogxK

M3 - Article

VL - 29

SP - 183

EP - 200

JO - Differential and Integral Equations

JF - Differential and Integral Equations

SN - 0893-4983

IS - 1-2

ER -