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The Cauchy Problem for the Nonlinear Schrödinger Equation on a Compact Manifold

✍ Scribed by Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay


Book ID
121865092
Publisher
Atlantis Press
Year
2003
Tongue
English
Weight
202 KB
Volume
10
Category
Article
ISSN
1402-9251

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Cauchy problem for the -critical nonline
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In this paper, we consider solutions of the L 2 -critical focusing nonlinear Schrödinger equation on R 2 for the initial data in H s (s < 1), mainly about the L 2 concentration phenomena for blow-up solutions and global well-posedness for small initial data.