# WELL-POSEDNESS FOR THE BENJAMIN EQUATIONS

• Kozono, Hideo ;
• Ogawa, Takayoshi ;
• Tanisaka, Hirooki
• Published : 2001.11.01
• 42 5

#### Abstract

We consider the time local well-posedness of the Benjamin equation. Like the result due to Keing-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.

#### Keywords

Benjamin equation;local well-posedness;initial value problem;KdV equation

#### References

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