Mathematics – Analysis of PDEs
Scientific paper
2002-03-21
Mathematics
Analysis of PDEs
21 pages
Scientific paper
We prove an "almost conservation law" to obtain global-in-time well-posedness
for the cubic, defocussing nonlinear Schr\"odinger equation in H^s(R^n) when n
= 2, 3 and s > 4/7, 5/6, respectively.
Colliander James
Keel Marcus
Staffilani Gigliola
Takaoka Hideo
Tao Terence
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