Contents
Introduction vii
Acknowledgements xiii
Chapter 1. The Local Theory of the Cauchy Problem 1
Chapter 2. The “Road Map”: The Concentration Compactness/Rigidity
Theorem Method for Critical Problems I 17
Chapter 3. The “Road Map”: The Concentration Compactness/Rigidity
Theorem Method for Critical Problems II 31
Chapter 4. Properties of Compact Solutions and Some More Rigidity
Theorems, with Applications to an Extension of Theorem 2.6 45
Chapter 5. Proof of the Rigidity Theorems 69
Chapter 6. Type II Blow-up Solutions 81
Chapter 7. Channels of Energy and Outer Energy Lower Bounds 101
Chapter 8. Universal Type II Blow-up Profiles 109
Chapter 9. Soliton Resolution for Radial Solutions to (NLW), I 121
Chapter 10. Soliton Resolution for Radial Solutions to (NLW), II 135
Chapter 11. Soliton Resolution for Radial Solutions to (NLW), III 145
Bibliography 157
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