Almost conservation laws and global rough solutions to a Nonlinear Schr\"odinger equation
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🧮 math.AP
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almostconservationequationnonlinearodingerschrcubicdefocussing
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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.
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