Energy Critical NLS in two space dimensions

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We investigate the initial value problem for a defocusing nonlinear Schrödingerequation with exponential nonlinearity. We identify subcritical, critical and supercritical regimes in the energy space. We establish global well-posedness in the subcritical and critical regimes. Well-posedness fails to hold in the supercritical case.
27 pages, submitted

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Analysis of PDEs, 35-xx, 35Q55, 35B60, 35B33, 37K07

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http://salesiana.dossiersoluciones.com/handle/123456789/163166

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0806.2979
 http://arxiv.org/abs/0806.2979

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arXiv