We prove an "almost conservation law" to obtain global-in-time well-posedness for the cubic, defocussing nonlinear Schrödinger equation in HS(ℝn) when n = 2, 3 and s > 4/7, 5/6, respectively.
|Original language||English (US)|
|Number of pages||24|
|Journal||Mathematical Research Letters|
|State||Published - 2002|
- Nonlinear Schrödinger equation