Chapters in this book

1. Frontmatter i
2. Contents v
3. Preface vii
4. Chapter 1. On Strichartz’s Inequalities and the Nonlinear Schrödinger Equation on Irrational Tori 1
5. Chapter 2. Diffusion Bound for a Nonlinear Schrödinger Equation 21
6. Chapter 3. Instability of Finite Difference Schemes for Hyperbolic Conservation Laws 43
7. Chapter 4. Nonlinear Elliptic Equations with Measures Revisited 55
8. Chapter 5. Global Solutions for the Nonlinear Schrödinger Equation on Three-Dimensional Compact Manifolds 111
9. Chapter 6. Power Series Solution of a Nonlinear Schrödinger Equation 131
10. Chapter 7. Eulerian-Lagrangian Formalism and Vortex Reconnection 157
11. Chapter 8. Long Time Existence for Small Data Semilinear Klein-Gordon Equations on Spheres 171
12. Chapter 9. Local and Global Wellposedness of Periodic KP-I Equations 181
13. Chapter 10. The Cauchy Problem for the Navier-Stokes Equations with Spatially Almost Periodic Initial Data 213
14. Chapter 11. Longtime Decay Estimates for the Schrödinger Equation on Manifolds 223
15. Contributors 287
16. Index 291