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.
1. Introduction
2. Preliminaries
3. Analysis for the discrete component
4. Dispersive analysis setup
5. Field self-interactions
6. Singular quadratic terms
7. Regular quadratic terms
8. Mixed terms
9. Energy estimates
A. Basic results about the NSD
B. Structure of the NSD and product estimates
Tristan Leger, Fujitsu Research of America, Santa Clara, California, and Fabio Pusateri, University of Toronto, Ontario, Canada
