| FrontmatterDownload pp. i–v |
| ContentsDownload pp. vii–ix |
| PrologueDownload pp. 1–28 |
1 | The Optical Structure Equationspp. 29–62 |
2 | The Characteristic Initial Datapp. 63–89 |
3 | L∞ Estimates for the Connection Coefficientspp. 91–113 |
4 | L4(S) Estimates for the 1st Derivatives of the Connection Coefficientspp. 115–146 |
5 | The Uniformization Theorempp. 147–179 |
6 | L4(S) Estimates for the 2nd Derivatives of the Connection Coefficientspp. 181–214 |
7 | L2 Estimates for the 3rd Derivatives of the Connection Coefficientspp. 215–274 |
8 | The Multiplier Fields and the Commutation Fieldspp. 275–297 |
9 | Estimates for the Derivatives of the Deformation Tensors of the Commutation Fieldspp. 299–324 |
10 | The Sobolev Inequalities on the Cu and the Cupp. 325–342 |
11 | The S-tangential Derivatives and the Rotational Lie Derivativespp. 343–363 |
12 | Weyl Fields and Currents. The Existence Theorempp. 365–421 |
13 | The Multiplier Error Estimatespp. 423–440 |
14 | The 1st-Order Weyl Current Error Estimatespp. 441–480 |
15 | The 2nd-Order Weyl Current Error Estimatespp. 481–516 |
16 | The Energy-Flux Estimates. Completion of the Continuity Argumentpp. 517–571 |
17 | Trapped Surface Formationpp. 573–581 |
| Bibliographypp. 583–586 |
| Indexpp. 587–589 |