Well-posedness for the Benjamin equations

Hideo Kozono; Takayoshi Ogawa; Hirooki Tanisaka

Well-posedness for the Benjamin equations

Hideo Kozono, Takayoshi Ogawa, Hirooki Tanisaka

Tohoku University

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

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

Keywords

Benjamin equation
Initial value problem
KdV equation
Local well-posedness

Cite this

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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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AU - Kozono, Hideo

AU - Ogawa, Takayoshi

AU - Tanisaka, Hirooki

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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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JO - Journal of the Korean Mathematical Society

JF - Journal of the Korean Mathematical Society

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ER -

Well-posedness for the Benjamin equations

Abstract

Keywords

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