### 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 |

Externally published | Yes |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Journal of the Korean Mathematical Society*,

*38*(6), 1205-1234.

**Well-posedness for the Benjamin equations.** / Kozono, Hideo; Ogawa, Takayoshi; Tanisaka, Hirooki.

Research output: Contribution to journal › Article

*Journal of the Korean Mathematical Society*, vol. 38, no. 6, pp. 1205-1234.

}

TY - JOUR

T1 - Well-posedness for the Benjamin equations

AU - Kozono, Hideo

AU - Ogawa, Takayoshi

AU - Tanisaka, Hirooki

PY - 2001

Y1 - 2001

N2 - 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 HS(ℝ) for s > -3/4.

AB - 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 HS(ℝ) for s > -3/4.

KW - Benjamin equation

KW - Initial value problem

KW - KdV equation

KW - Local well-posedness

UR - http://www.scopus.com/inward/record.url?scp=52549112986&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=52549112986&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:52549112986

VL - 38

SP - 1205

EP - 1234

JO - Journal of the Korean Mathematical Society

JF - Journal of the Korean Mathematical Society

SN - 0304-9914

IS - 6

ER -