Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4604195 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2014 | 24 Pages |
Abstract
We establish global existence for the energy-critical nonlinear Schrödinger equation on S3. This follows similar lines to the work on T3 but requires new extinction results for linear solutions and bounds on the interaction of a Euclidean profile and a linear wave of much higher frequency that are adapted to the new geometry.
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