Strichartz Estimates for Wave Equations with Charge Transfer Hamiltonians.

Cover
Title page
Chapter 1. Introduction
1.1. Historical background
1.2. Charge transfer model and main results
1.3. Main ideas
Notation
Organization
Acknowledgment
Chapter 2. Preliminaries
2.1. Strichartz estimates and local energy decay
2.2. Lorentz Transformations and Energy
Chapter 3. Estimates along Slanted Lines
3.1. Free wave equations
3.2. Wave equations with stationary potentials
Chapter 4. Endpoint Reversed Strichartz Estimates
4.1. Bootstrap argument
4.2. Bound states
4.3. Decomposition into channels
4.4. Analysis of the three channels
4.5. Conclusion
Chapter 5. Strichartz Estimates and Energy Bound
Chapter 6. Inhomogeneous Estimates
6.1. Scattering states
6.2. Inhomogeneous local decay estimate and Strichartz estimates
6.3. Reversed endpoint Strichartz estimates with inhomogeneous terms in revered norms
6.4. Reversed type local decay estimates
Chapter 7. Scattering
Bibliography
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