Well-posedness for the Benjamin equations

Hideo Kozono; Takayoshi Ogawa; Hirooki Tanisaka

Well-posedness for the Benjamin equations

Hideo Kozono^*, Takayoshi Ogawa, Hirooki Tanisaka

^*Corresponding author for this work

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

9 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 Dec 1
Externally published	Yes

Keywords

Benjamin equation
Initial value problem
KdV equation
Local well-posedness

ASJC Scopus subject areas

Mathematics(all)

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.",

keywords = "Benjamin equation, Initial value problem, KdV equation, Local well-posedness",

author = "Hideo Kozono and Takayoshi Ogawa and Hirooki Tanisaka",

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language = "English",

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journal = "Journal of the Korean Mathematical Society",

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TY - JOUR

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

SN - 0304-9914

VL - 38

SP - 1205

EP - 1234

JO - Journal of the Korean Mathematical Society

JF - Journal of the Korean Mathematical Society

IS - 6

ER -

Well-posedness for the Benjamin equations

Abstract

Keywords

ASJC Scopus subject areas

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