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


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.


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


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