Bulletin of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2432-1982
On the Wave Operators for the Pseudo-Conformally Invariant Nonlinear Schrodinger Equation
Tohru Ozawa
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2008 Volume 18 Issue 4 Pages 298-302

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Abstract
We study the scattering problem for the pseudo-conformally invariant nonlinear Schrodinger equation in space-time R^<n+1>. In Section 1, we give a brief survey on nonlinear Schrodinger equations with various critical powers. In Section 2, the scattering problem is formulated. In Section 3, we introduce a recent joint work with R. Carles on new identities of wave operators and associated Poisson formulas.
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© 2008 The Japan Society for Industrial and Applied Mathematics
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