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.
|Number of pages||30|
|Journal||Journal of the Korean Mathematical Society|
|Publication status||Published - 2001|
- Benjamin equation
- Initial value problem
- KdV equation
- Local well-posedness