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On the 2D Zakharov system with L 2 Schrödinger data

✍ Scribed by Bejenaru, I; Herr, S; Holmer, J; Tataru, D


Book ID
120998377
Publisher
Institute of Physics
Year
2009
Tongue
English
Weight
423 KB
Volume
22
Category
Article
ISSN
0951-7715

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We prove L 2 global well-posedness results for 2D (subcritical and critical) nonlinear Schro dinger equations with data on R\_T. We use methods of the periodic case due to J. Bourgain. The main ingredient in the proof is the L 4 &L 2 Strichartz inequality for the free evolution which fails in the pu