Almost conservation laws and global rough solutions to a Nonlinear Schrödinger equation

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We prove an "almost conservation law" to obtain global-in-time well-posedness for the cubic, defocussing nonlinear Schrödinger equation in H^s(R^n) when n = 2, 3 and s > 4/7, 5/6, respectively.
21 pages

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Analysis of PDEs, 35Q55,35A05

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http://salesiana.dossiersoluciones.com/handle/123456789/63621

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0203218
 http://arxiv.org/abs/math/0203218

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arXiv