Abstract
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) |
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Pages (from-to) | 659-682 |
Number of pages | 24 |
Journal | Mathematical Research Letters |
Volume | 9 |
Issue number | 5-6 |
DOIs | |
State | Published - 2002 |
Keywords
- Nonlinear Schrödinger equation
- Well-posedness