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9781470470678 Academic Inspection Copy

Bilinear Estimates in the Presence of a Large Potential and a Critical NLS in 3D

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The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
Fabio Pusateri, University of Toronto, Ontario, Canada, and Avy Soffer, Rutgers University, New Brunswick, New Jersey.
1. Introduction 2. Main ideas and strategy 3. Linear Spectral Theory 4. Preliminary bounds: Linear estimates and high frequencies 5. Analysis of the NSD I: structure of the leading order 6. Bilinear estimates for the leading order of the NSD 7. Weighted estimates for leading order terms 8. Analysis of the NSD II: Lower order terms 9. Weighted estimates for lower order terms
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