### Abstract

We consider the time local well-posedness of the Benjamin equation. Like the result due to Kenig-Ponce-Vega |10|, |12|, we show that the initial value problem is time locally well posed in the Sobolev space H^{S}(ℝ) for s > -3/4.

Original language | English |
---|---|

Pages (from-to) | 1205-1234 |

Number of pages | 30 |

Journal | Journal of the Korean Mathematical Society |

Volume | 38 |

Issue number | 6 |

Publication status | Published - 2001 Dec 1 |

Externally published | Yes |

### Keywords

- Benjamin equation
- Initial value problem
- KdV equation
- Local well-posedness

### ASJC Scopus subject areas

- Mathematics(all)

## Fingerprint Dive into the research topics of 'Well-posedness for the Benjamin equations'. Together they form a unique fingerprint.

## Cite this

Kozono, H., Ogawa, T., & Tanisaka, H. (2001). Well-posedness for the Benjamin equations.

*Journal of the Korean Mathematical Society*,*38*(6), 1205-1234.