Scattering above energy norm of solutions of a loglog energy-supercritical Schrödinger equation with radial data |
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Authors: | Tristan Roy |
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Institution: | Institute for Advanced Study, School of Mathematics, Einstein Drive, Princeton, NJ 08540, USA |
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Abstract: | We prove global well-posedness and scattering of -solutions of the loglog energy-supercritical Schrödinger equation , 0<c<cn, n={3,4}, with radial data , . This is achieved, roughly speaking, by extending Bourgain's argument in Bourgain (1999) 1] (see also Grillakis, 2000 5]) and Tao's argument in Tao (2005) 10] in high dimensions. |
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Keywords: | Global existence Scattering Concentration Morawetz-type estimate |
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