Well-posedness for the Benjamin equations

Hideo Kozono; Takayoshi Ogawa; Hirooki Tanisaka

Well-posedness for the Benjamin equations

Hideo Kozono^*, Takayoshi Ogawa, Hirooki Tanisaka

^*この研究の対応する著者

研究成果: Article › 査読

10 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ（範囲）	1205-1234
ページ数	30
ジャーナル	Journal of the Korean Mathematical Society
巻	38
号	6
出版ステータス	Published - 2001 12月 1
外部発表	はい

ASJC Scopus subject areas

数学 (全般)

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引用スタイル

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title = "Well-posedness for the Benjamin equations",

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 HS(ℝ) for s > -3/4.",

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T1 - Well-posedness for the Benjamin equations

AU - Kozono, Hideo

AU - Ogawa, Takayoshi

AU - Tanisaka, Hirooki

PY - 2001/12/1

Y1 - 2001/12/1

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

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M3 - Article

AN - SCOPUS:52549112986

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VL - 38

SP - 1205

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JO - Journal of the Korean Mathematical Society

JF - Journal of the Korean Mathematical Society

IS - 6

ER -

Well-posedness for the Benjamin equations

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ASJC Scopus subject areas

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